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56803008 = 2631923677
BaseRepresentation
bin1101100010101…
…1111011000000
310221212220002010
43120223323000
5104020144013
65345252520
71256550303
oct330537300
9127786063
1056803008
112a077a39
1217034140
13b9caa62
147788b3a
154ec07c3
hex362bec0

56803008 has 112 divisors (see below), whose sum is σ = 165323520. Its totient is φ = 17132544.

The previous prime is 56803007. The next prime is 56803013. The reversal of 56803008 is 80030865.

56803008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56803007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83566 + ... + 84242.

Almost surely, 256803008 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 56803008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82661760).

56803008 is an abundant number, since it is smaller than the sum of its proper divisors (108520512).

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

56803008 is a wasteful number, since it uses less digits than its factorization.

56803008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 56803008 is about 7536.7770300043. Note that the first 3 decimals coincide. The cubic root of 56803008 is about 384.4062540784.

The spelling of 56803008 in words is "fifty-six million, eight hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 138 152 184 192 228 276 304 368 437 456 552 608 677 736 874 912 1104 1216 1311 1354 1472 1748 1824 2031 2208 2622 2708 3496 3648 4062 4416 5244 5416 6992 8124 10488 10832 12863 13984 15571 16248 20976 21664 25726 27968 31142 32496 38589 41952 43328 46713 51452 62284 64992 77178 83904 93426 102904 124568 129984 154356 186852 205808 249136 295849 308712 373704 411616 498272 591698 617424 747408 823232 887547 996544 1183396 1234848 1494816 1775094 2366792 2469696 2989632 3550188 4733584 7100376 9467168 14200752 18934336 28401504 56803008