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2920000608 = 253273146723
BaseRepresentation
bin1010111000001011…
…1010110001100000
321112111111101210200
42232002322301200
521440010004413
61201425425200
7132234411210
oct25602726140
97474441720
102920000608
11126929a748
12695a9b200
13376c54515
141d9b40240
15121540573
hexae0bac60

2920000608 has 144 divisors (see below), whose sum is σ = 9796340736. Its totient is φ = 807356160.

The previous prime is 2920000571. The next prime is 2920000621. The reversal of 2920000608 is 8060000292.

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

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, 39135 + ... + 85857.

It is an arithmetic number, because the mean of its divisors is an integer number (68030144).

Almost surely, 22920000608 is an apocalyptic number.

2920000608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2920000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898170368).

2920000608 is an abundant number, since it is smaller than the sum of its proper divisors (6876340128).

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

2920000608 is a wasteful number, since it uses less digits than its factorization.

2920000608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46777 (or 46766 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2920000608 is about 54037.0299701973. The cubic root of 2920000608 is about 1429.3139989665.

The spelling of 2920000608 in words is "two billion, nine hundred twenty million, six hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 31248 46723 62496 93446 140169 186892 280338 327061 373784 420507 560676 654122 747568 841014 981183 1121352 1308244 1448413 1495136 1682028 1962366 2242704 2616488 2896826 2943549 3364056 3924732 4345239 4485408 5232976 5793652 5887098 6728112 7849464 8690478 10138891 10465952 11587304 11774196 13035717 13456224 15698928 17380956 20277782 23174608 23548392 26071434 30416673 31397856 34761912 40555564 46349216 47096784 52142868 60833346 69523824 81111128 91250019 94193568 104285736 121666692 139047648 162222256 182500038 208571472 243333384 324444512 365000076 417142944 486666768 730000152 973333536 1460000304 2920000608