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2942060256 = 253217619851
BaseRepresentation
bin1010111101011100…
…0100011011100000
321121001000010221200
42233113010123200
522011131412011
61203534321200
7132623046102
oct25727043340
97531003850
102942060256
11127a797463
126a1359200
1337b6a9275
141dca43572
1512344b856
hexaf5c46e0

2942060256 has 144 divisors (see below), whose sum is σ = 9004767408. Its totient is φ = 907776000.

The previous prime is 2942060221. The next prime is 2942060267. The reversal of 2942060256 is 6520602492.

2942060256 is a `hidden beast` number, since 2 + 9 + 42 + 0 + 602 + 5 + 6 = 666.

2942060256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2942060256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293731 + ... + 303581.

It is an arithmetic number, because the mean of its divisors is an integer number (62533107).

Almost surely, 22942060256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942060256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502383704).

2942060256 is an abundant number, since it is smaller than the sum of its proper divisors (6062707152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2942060256 is a wasteful number, since it uses less digits than its factorization.

2942060256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2942060256 is about 54240.7619415509. The cubic root of 2942060256 is about 1432.9043058965.

It can be divided in two parts, 29420 and 60256, that added together give a triangular number (89676 = T423).

The spelling of 2942060256 in words is "two billion, nine hundred forty-two million, sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 61 68 72 96 102 122 136 144 153 183 204 244 272 288 306 366 408 488 544 549 612 732 816 976 1037 1098 1224 1464 1632 1952 2074 2196 2448 2928 3111 4148 4392 4896 5856 6222 8296 8784 9333 9851 12444 16592 17568 18666 19702 24888 29553 33184 37332 39404 49776 59106 74664 78808 88659 99552 118212 149328 157616 167467 177318 236424 298656 315232 334934 354636 472848 502401 600911 669868 709272 945696 1004802 1201822 1339736 1418544 1507203 1802733 2009604 2403644 2679472 2837088 3014406 3605466 4019208 4807288 5358944 5408199 6028812 7210932 8038416 9614576 10215487 10816398 12057624 14421864 16076832 19229152 20430974 21632796 24115248 28843728 30646461 40861948 43265592 48230496 57687456 61292922 81723896 86531184 91939383 122585844 163447792 173062368 183878766 245171688 326895584 367757532 490343376 735515064 980686752 1471030128 2942060256