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56938014 = 23271393251
BaseRepresentation
bin1101100100110…
…0111000011110
310222010202021100
43121030320132
5104034004024
65352213530
71260652020
oct331147036
9128122240
1056938014
112a15a411
121709a2a6
13ba47343
1477c2010
154eea7c9
hex364ce1e

56938014 has 48 divisors (see below), whose sum is σ = 142047360. Its totient is φ = 16146000.

The previous prime is 56938001. The next prime is 56938027. The reversal of 56938014 is 41083965.

56938014 is a `hidden beast` number, since 569 + 3 + 80 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (56938001) and next prime (56938027).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56938014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15889 + ... + 19139.

It is an arithmetic number, because the mean of its divisors is an integer number (2959320).

Almost surely, 256938014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56938014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71023680).

56938014 is an abundant number, since it is smaller than the sum of its proper divisors (85109346).

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

56938014 is a wasteful number, since it uses less digits than its factorization.

56938014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 56938014 is about 7545.7281954759. The cubic root of 56938014 is about 384.7105577377.

It can be divided in two parts, 569 and 38014, that added together give a palindrome (38583).

The spelling of 56938014 in words is "fifty-six million, nine hundred thirty-eight thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 3251 5838 6502 8757 9753 17514 19506 22757 29259 45514 58518 68271 136542 204813 409626 451889 903778 1355667 2711334 3163223 4067001 6326446 8134002 9489669 18979338 28469007 56938014