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56570976 = 25327112551
BaseRepresentation
bin1101011111001…
…1010001100000
310221110002210100
43113303101200
5103440232401
65340302400
71254562650
oct327632140
9127402710
1056570976
1129a29680
1216b41a00
13b949267
147728360
154e76b86
hex35f3460

56570976 has 144 divisors (see below), whose sum is σ = 200648448. Its totient is φ = 14688000.

The previous prime is 56570971. The next prime is 56570989. The reversal of 56570976 is 67907565.

It is a happy number.

56570976 is a `hidden beast` number, since 5 + 6 + 570 + 9 + 76 = 666.

56570976 is digitally balanced in base 2, because in such base 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (56570971) 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 23 ways as a sum of consecutive naturals, for example, 20901 + ... + 23451.

It is an arithmetic number, because the mean of its divisors is an integer number (1393392).

Almost surely, 256570976 is an apocalyptic number.

56570976 is a gapful number since it is divisible by the number (56) 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 56570976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100324224).

56570976 is an abundant number, since it is smaller than the sum of its proper divisors (144077472).

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

56570976 is a wasteful number, since it uses less digits than its factorization.

56570976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 56570976 is about 7521.3679606837. The cubic root of 56570976 is about 383.8821252786.

The spelling of 56570976 in words is "fifty-six million, five hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2551 2772 3168 3696 5102 5544 7392 7653 10204 11088 15306 17857 20408 22176 22959 28061 30612 35714 40816 45918 53571 56122 61224 71428 81632 84183 91836 107142 112244 122448 142856 160713 168366 183672 196427 214284 224488 244896 252549 285712 321426 336732 367344 392854 428568 448976 505098 571424 589281 642852 673464 734688 785708 857136 897952 1010196 1178562 1285704 1346928 1571416 1714272 1767843 2020392 2357124 2571408 2693856 3142832 3535686 4040784 4714248 5142816 6285664 7071372 8081568 9428496 14142744 18856992 28285488 56570976