Search a number
-
+
56336928 = 2534491307
BaseRepresentation
bin1101011011101…
…0001000100000
310221000012201220
43112322020200
5103410240203
65331255040
71252566414
oct326721040
9127005656
1056336928
112988984a
1216a4a480
13b89687b
1476a6d44
154e2c653
hex35ba220

56336928 has 48 divisors (see below), whose sum is σ = 148327200. Its totient is φ = 18722816.

The previous prime is 56336909. The next prime is 56336953. The reversal of 56336928 is 82963365.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56336928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42451 + ... + 43757.

It is an arithmetic number, because the mean of its divisors is an integer number (3090150).

Almost surely, 256336928 is an apocalyptic number.

It is an amenable number.

56336928 is an abundant number, since it is smaller than the sum of its proper divisors (91990272).

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

56336928 is a wasteful number, since it uses less digits than its factorization.

56336928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1761 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 56336928 is about 7505.7929627722. The cubic root of 56336928 is about 383.3519886741.

It can be divided in two parts, 5633 and 6928, that added together give a triangular number (12561 = T158).

The spelling of 56336928 in words is "fifty-six million, three hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 449 898 1307 1347 1796 2614 2694 3592 3921 5228 5388 7184 7842 10456 10776 14368 15684 20912 21552 31368 41824 43104 62736 125472 586843 1173686 1760529 2347372 3521058 4694744 7042116 9389488 14084232 18778976 28168464 56336928