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56277136 = 2423261109
BaseRepresentation
bin1101011010101…
…1100010010000
310220220011201101
43112223202100
5103401332021
65330114144
71252230166
oct326534220
9126804641
1056277136
1129848933
1216a1b954
13b8755a6
14768d236
154e19a91
hex35ab890

56277136 has 60 divisors (see below), whose sum is σ = 116915260. Its totient is φ = 26231040.

The previous prime is 56277127. The next prime is 56277161. The reversal of 56277136 is 63177265.

It can be written as a sum of positive squares in 2 ways, for example, as 17139600 + 39137536 = 4140^2 + 6256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56277095 and 56277104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516250 + ... + 516358.

Almost surely, 256277136 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 56277136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58457630).

56277136 is an abundant number, since it is smaller than the sum of its proper divisors (60638124).

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

56277136 is a wasteful number, since it uses less digits than its factorization.

56277136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its digits is 52920, while the sum is 37.

The square root of 56277136 is about 7501.8088485378. The cubic root of 56277136 is about 383.2163198405.

The spelling of 56277136 in words is "fifty-six million, two hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 61 92 109 122 184 218 244 368 436 488 529 872 976 1058 1403 1744 2116 2507 2806 4232 5014 5612 6649 8464 10028 11224 13298 20056 22448 26596 32269 40112 53192 57661 64538 106384 115322 129076 152927 230644 258152 305854 461288 516304 611708 922576 1223416 2446832 3517321 7034642 14069284 28138568 56277136