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56565630 = 232511173361
BaseRepresentation
bin1101011111000…
…1111101111110
310221102211110100
43113301331332
5103440100010
65340221530
71254541242
oct327617576
9127384410
1056565630
1129a25660
1216b3a8a6
13b9469b4
147726422
154e752c0
hex35f1f7e

56565630 has 96 divisors (see below), whose sum is σ = 169928928. Its totient is φ = 12902400.

The previous prime is 56565617. The next prime is 56565667. The reversal of 56565630 is 3656565.

It is a happy number.

56565630 is a `hidden beast` number, since 565 + 65 + 6 + 30 = 666.

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

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15150 + ... + 18510.

It is an arithmetic number, because the mean of its divisors is an integer number (1770093).

Almost surely, 256565630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56565630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84964464).

56565630 is an abundant number, since it is smaller than the sum of its proper divisors (113363298).

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

56565630 is a wasteful number, since it uses less digits than its factorization.

56565630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 56565630 is about 7521.0125648080. The cubic root of 56565630 is about 383.8700325140.

The spelling of 56565630 in words is "fifty-six million, five hundred sixty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3361 3366 5610 6722 8415 10083 16805 16830 20166 30249 33610 36971 50415 57137 60498 73942 100830 110913 114274 151245 171411 184855 221826 285685 302490 332739 342822 369710 514233 554565 571370 628507 665478 857055 1028466 1109130 1257014 1663695 1714110 1885521 2571165 3142535 3327390 3771042 5142330 5656563 6285070 9427605 11313126 18855210 28282815 56565630