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56435352 = 2334183691
BaseRepresentation
bin1101011101001…
…0001010011000
310221012012202020
43113102022120
5103421412402
65333334440
71253456361
oct327221230
9127165666
1056435352
1129946796
1216a97420
13b8cc5cc
1476d0b68
154e4b8bc
hex35d2298

56435352 has 64 divisors (see below), whose sum is σ = 146482560. Its totient is φ = 18105600.

The previous prime is 56435341. The next prime is 56435381. The reversal of 56435352 is 25353465.

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, 81327 + ... + 82017.

It is an arithmetic number, because the mean of its divisors is an integer number (2288790).

Almost surely, 256435352 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 56435352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73241280).

56435352 is an abundant number, since it is smaller than the sum of its proper divisors (90047208).

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

56435352 is a wasteful number, since it uses less digits than its factorization.

56435352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

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

The square root of 56435352 is about 7512.3466373697. The cubic root of 56435352 is about 383.5751051153.

The spelling of 56435352 in words is "fifty-six million, four hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 83 123 164 166 246 249 328 332 492 498 664 691 984 996 1382 1992 2073 2764 3403 4146 5528 6806 8292 10209 13612 16584 20418 27224 28331 40836 56662 57353 81672 84993 113324 114706 169986 172059 226648 229412 339972 344118 458824 679944 688236 1376472 2351473 4702946 7054419 9405892 14108838 18811784 28217676 56435352