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56877288 = 23313237379
BaseRepresentation
bin1101100011111…
…0000011101000
310222000122222020
43120332003220
5104030033123
65351024440
71260306666
oct330760350
9128018866
1056877288
112a118826
121706b120
13ba25800
1477a7c36
154ed77e3
hex363e0e8

56877288 has 96 divisors (see below), whose sum is σ = 158551200. Its totient is φ = 16982784.

The previous prime is 56877269. The next prime is 56877299. The reversal of 56877288 is 88277865.

56877288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56877288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149883 + ... + 150261.

It is an arithmetic number, because the mean of its divisors is an integer number (1651575).

Almost surely, 256877288 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 56877288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79275600).

56877288 is an abundant number, since it is smaller than the sum of its proper divisors (101673912).

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

56877288 is a wasteful number, since it uses less digits than its factorization.

56877288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 434 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 56877288 is about 7541.7032558965. The cubic root of 56877288 is about 384.5737408615.

The spelling of 56877288 in words is "fifty-six million, eight hundred seventy-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 169 222 296 312 338 379 444 481 507 676 758 888 962 1014 1137 1352 1443 1516 1924 2028 2274 2886 3032 3848 4056 4548 4927 5772 6253 9096 9854 11544 12506 14023 14781 18759 19708 25012 28046 29562 37518 39416 42069 50024 56092 59124 64051 75036 84138 112184 118248 128102 150072 168276 182299 192153 256204 336552 364598 384306 512408 546897 729196 768612 1093794 1458392 1537224 2187588 2369887 4375176 4739774 7109661 9479548 14219322 18959096 28438644 56877288