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56534352 = 24371131489
BaseRepresentation
bin1101011110101…
…0010101010000
310221101020112220
43113222111100
5103433044402
65335421040
71254351120
oct327522520
9127336486
1056534352
1129a04106
1216b24780
13b9356a4
147718c80
154e6adbc
hex35ea550

56534352 has 80 divisors (see below), whose sum is σ = 168501120. Its totient is φ = 15998976.

The previous prime is 56534347. The next prime is 56534363. The reversal of 56534352 is 25343565.

56534352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×565343522 = 6392265912119808, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 37224 + ... + 38712.

It is an arithmetic number, because the mean of its divisors is an integer number (2106264).

Almost surely, 256534352 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 56534352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84250560).

56534352 is an abundant number, since it is smaller than the sum of its proper divisors (111966768).

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

56534352 is a wasteful number, since it uses less digits than its factorization.

56534352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its digits is 54000, while the sum is 33.

The square root of 56534352 is about 7518.9329030122. The cubic root of 56534352 is about 383.7992657451.

The spelling of 56534352 in words is "fifty-six million, five hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1489 1582 1808 2373 2712 2978 3164 4467 4746 5424 5956 6328 8934 9492 10423 11912 12656 17868 18984 20846 23824 31269 35736 37968 41692 62538 71472 83384 125076 166768 168257 250152 336514 500304 504771 673028 1009542 1177799 1346056 2019084 2355598 2692112 3533397 4038168 4711196 7066794 8076336 9422392 14133588 18844784 28267176 56534352