Search a number
-
+
7907920056 = 2333177329501
BaseRepresentation
bin1110101110101100…
…10100100010111000
3202102010010221222000
413113112110202320
5112143411420211
63344410101000
7366652132341
oct72726244270
922363127860
107907920056
1133988a6423
12164841a760
1399044354a
145503790c8
153143ac656
hex1d75948b8

7907920056 has 128 divisors (see below), whose sum is σ = 23577998400. Its totient is φ = 2446848000.

The previous prime is 7907920003. The next prime is 7907920057. The reversal of 7907920056 is 6500297097.

It is a super-2 number, since 2×79079200562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7907919993 and 7907920020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7907920057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253306 + ... + 282806.

Almost surely, 27907920056 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 7907920056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11788999200).

7907920056 is an abundant number, since it is smaller than the sum of its proper divisors (15670078344).

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

7907920056 is a wasteful number, since it uses less digits than its factorization.

7907920056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29606 (or 29596 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 7907920056 is about 88926.4868079247. The cubic root of 7907920056 is about 1992.2970416379.

The spelling of 7907920056 in words is "seven billion, nine hundred seven million, nine hundred twenty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 73 102 108 136 146 153 204 216 219 292 306 408 438 459 584 612 657 876 918 1224 1241 1314 1752 1836 1971 2482 2628 3672 3723 3942 4964 5256 7446 7884 9928 11169 14892 15768 22338 29501 29784 33507 44676 59002 67014 88503 89352 118004 134028 177006 236008 265509 268056 354012 501517 531018 708024 796527 1003034 1062036 1504551 1593054 2006068 2124072 2153573 3009102 3186108 4012136 4307146 4513653 6018204 6372216 6460719 8614292 9027306 12036408 12921438 13540959 17228584 18054612 19382157 25842876 27081918 36109224 36610741 38764314 51685752 54163836 58146471 73221482 77528628 108327672 109832223 116292942 146442964 155057256 219664446 232585884 292885928 329496669 439328892 465171768 658993338 878657784 988490007 1317986676 1976980014 2635973352 3953960028 7907920056