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56103632 = 24132971131
BaseRepresentation
bin1101011000000…
…1001011010000
310220120100201022
43112001023100
5103330304012
65322255012
71250605304
oct326011320
9126510638
1056103632
112973a542
1216957468
13b814620
147645d04
154dd3472
hex35812d0

56103632 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 24460800.

The previous prime is 56103629. The next prime is 56103659. The reversal of 56103632 is 23630165.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428207 + ... + 428337.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 256103632 is an apocalyptic number.

56103632 is a gapful number since it is divisible by the number (52) 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 56103632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

56103632 is an abundant number, since it is smaller than the sum of its proper divisors (67638448).

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

56103632 is a wasteful number, since it uses less digits than its factorization.

56103632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 56103632 is about 7490.2357773304. The cubic root of 56103632 is about 382.8220921778.

Adding to 56103632 its reverse (23630165), we get a palindrome (79733797).

The spelling of 56103632 in words is "fifty-six million, one hundred three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 71 104 116 131 142 208 232 262 284 377 464 524 568 754 923 1048 1136 1508 1703 1846 2059 2096 3016 3406 3692 3799 4118 6032 6812 7384 7598 8236 9301 13624 14768 15196 16472 18602 26767 27248 30392 32944 37204 49387 53534 60784 74408 98774 107068 120913 148816 197548 214136 241826 269729 395096 428272 483652 539458 790192 967304 1078916 1934608 2157832 3506477 4315664 7012954 14025908 28051816 56103632