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56578984 = 23711531733
BaseRepresentation
bin1101011111010…
…1001110101000
310221110111202221
43113311032220
5103441011414
65340403424
71254625210
oct327651650
9127414687
1056578984
1129a346a0
1216b46574
13b94cab7
14772b240
154e79224
hex35f53a8

56578984 has 64 divisors (see below), whose sum is σ = 134835840. Its totient is φ = 21615360.

The previous prime is 56578981. The next prime is 56578997. The reversal of 56578984 is 48987565.

It is not an unprimeable number, because it can be changed into a prime (56578981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31782 + ... + 33514.

It is an arithmetic number, because the mean of its divisors is an integer number (2106810).

Almost surely, 256578984 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 56578984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67417920).

56578984 is an abundant number, since it is smaller than the sum of its proper divisors (78256856).

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

56578984 is a wasteful number, since it uses less digits than its factorization.

56578984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1806 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The square root of 56578984 is about 7521.9002918146. The cubic root of 56578984 is about 383.9002381180.

It can be divided in two parts, 5657 and 8984, that added together give a palindrome (14641).

The spelling of 56578984 in words is "fifty-six million, five hundred seventy-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 88 106 154 212 308 371 424 583 616 742 1166 1484 1733 2332 2968 3466 4081 4664 6932 8162 12131 13864 16324 19063 24262 32648 38126 48524 76252 91849 97048 133441 152504 183698 266882 367396 533764 642943 734792 1010339 1067528 1285886 2020678 2571772 4041356 5143544 7072373 8082712 14144746 28289492 56578984