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612295040 = 2757971409
BaseRepresentation
bin100100011111101…
…110000110000000
31120200010210220002
4210133232012000
52223221420130
6140431335132
721113264510
oct4437560600
91520123802
10612295040
11294696365
121510814a8
1399b11c76
145b467840
1538b4ab45
hex247ee180

612295040 has 128 divisors (see below), whose sum is σ = 1691323200. Its totient is φ = 207618048.

The previous prime is 612295039. The next prime is 612295049. The reversal of 612295040 is 40592216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 612294994 and 612295012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612295049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433856 + ... + 435264.

Almost surely, 2612295040 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 612295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845661600).

612295040 is an abundant number, since it is smaller than the sum of its proper divisors (1079028160).

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

612295040 is a wasteful number, since it uses less digits than its factorization.

612295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 612295040 is about 24744.5961777516. The cubic root of 612295040 is about 849.1548878230.

The spelling of 612295040 in words is "six hundred twelve million, two hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 128 140 160 194 224 280 320 388 448 485 560 640 679 776 896 970 1120 1358 1409 1552 1940 2240 2716 2818 3104 3395 3880 4480 5432 5636 6208 6790 7045 7760 9863 10864 11272 12416 13580 14090 15520 19726 21728 22544 27160 28180 31040 39452 43456 45088 49315 54320 56360 62080 78904 86912 90176 98630 108640 112720 136673 157808 180352 197260 217280 225440 273346 315616 394520 434560 450880 546692 631232 683365 789040 901760 956711 1093384 1262464 1366730 1578080 1913422 2186768 2733460 3156160 3826844 4373536 4783555 5466920 6312320 7653688 8747072 9567110 10933840 15307376 17494144 19134220 21867680 30614752 38268440 43735360 61229504 76536880 87470720 122459008 153073760 306147520 612295040