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56464344 = 23331715377
BaseRepresentation
bin1101011101100…
…1001111011000
310221020200112000
43113121033120
5103423324334
65334121000
71253640036
oct327311730
9127220460
1056464344
1129966552
1216ab0160
13b90c871
1476db556
154e55299
hex35d93d8

56464344 has 64 divisors (see below), whose sum is σ = 166082400. Its totient is φ = 17713152.

The previous prime is 56464321. The next prime is 56464349. The reversal of 56464344 is 44346465.

56464344 is a `hidden beast` number, since 5 + 6 + 4 + 643 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56464299 and 56464308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56464349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4017 + ... + 11360.

Almost surely, 256464344 is an apocalyptic number.

56464344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56464344 is an abundant number, since it is smaller than the sum of its proper divisors (109618056).

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

56464344 is a wasteful number, since it uses less digits than its factorization.

56464344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409 (or 15399 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 56464344 is about 7514.2760130301. The cubic root of 56464344 is about 383.6407773420.

The spelling of 56464344 in words is "fifty-six million, four hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 15377 30754 46131 61508 92262 123016 138393 184524 261409 276786 369048 415179 522818 553572 784227 830358 1045636 1107144 1568454 1660716 2091272 2352681 3136908 3321432 4705362 6273816 7058043 9410724 14116086 18821448 28232172 56464344