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56930944 = 277229313
BaseRepresentation
bin1101100100101…
…1001010000000
310222010101120111
43121023022000
5104033242234
65352121104
71260622300
oct331131200
9128111514
1056930944
112a155074
1217096194
13ba44065
1477bd600
154ee8664
hex364b280

56930944 has 96 divisors (see below), whose sum is σ = 136919700. Its totient is φ = 23482368.

The previous prime is 56930941. The next prime is 56930969. The reversal of 56930944 is 44903965.

It can be written as a sum of positive squares in 2 ways, for example, as 50580544 + 6350400 = 7112^2 + 2520^2 .

It is a super-2 number, since 2×569309442 = 6482264769462272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56930897 and 56930906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56930941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181732 + ... + 182044.

Almost surely, 256930944 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 56930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68459850).

56930944 is an abundant number, since it is smaller than the sum of its proper divisors (79988756).

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

56930944 is a wasteful number, since it uses less digits than its factorization.

56930944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 56930944 is about 7545.2597039466. The cubic root of 56930944 is about 384.6946338933.

It can be divided in two parts, 569 and 30944, that added together give a palindrome (31513).

The spelling of 56930944 in words is "fifty-six million, nine hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 313 392 406 448 464 626 784 812 896 928 1252 1421 1568 1624 1856 2191 2504 2842 3136 3248 3712 4382 5008 5684 6272 6496 8764 9077 10016 11368 12992 15337 17528 18154 20032 22736 25984 30674 35056 36308 40064 45472 61348 63539 70112 72616 90944 122696 127078 140224 145232 181888 245392 254156 280448 290464 444773 490784 508312 580928 889546 981568 1016624 1161856 1779092 1963136 2033248 3558184 4066496 7116368 8132992 14232736 28465472 56930944