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56938056 = 2337477211
BaseRepresentation
bin1101100100110…
…0111001001000
310222010202022220
43121030321020
5104034004211
65352214040
71260652110
oct331147110
9128122286
1056938056
112a15a44a
121709a320
13ba47376
1477c2040
154eea806
hex364ce48

56938056 has 64 divisors (see below), whose sum is σ = 166164480. Its totient is φ = 15919680.

The previous prime is 56938051. The next prime is 56938067. The reversal of 56938056 is 65083965.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56937999 and 56938017.

It is not an unprimeable number, because it can be changed into a prime (56938051) 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, 4291 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (2596320).

Almost surely, 256938056 is an apocalyptic number.

56938056 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 56938056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83082240).

56938056 is an abundant number, since it is smaller than the sum of its proper divisors (109226424).

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

56938056 is a wasteful number, since it uses less digits than its factorization.

56938056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 56938056 is about 7545.7309785070. The cubic root of 56938056 is about 384.7106523309.

The spelling of 56938056 in words is "fifty-six million, nine hundred thirty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7211 7896 14422 21633 28844 43266 50477 57688 86532 100954 151431 173064 201908 302862 338917 403816 605724 677834 1016751 1211448 1355668 2033502 2372419 2711336 4067004 4744838 7117257 8134008 9489676 14234514 18979352 28469028 56938056