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56565405 = 33513167193
BaseRepresentation
bin1101011111000…
…1111010011101
310221102211011000
43113301322131
5103440043110
65340220513
71254540501
oct327617235
9127384130
1056565405
1129a25476
1216b3a739
13b946870
147726301
154e751c0
hex35f1e9d

56565405 has 64 divisors (see below), whose sum is σ = 109509120. Its totient is φ = 27537408.

The previous prime is 56565391. The next prime is 56565433. The reversal of 56565405 is 50456565.

It is a happy number.

56565405 is a `hidden beast` number, since 56 + 565 + 40 + 5 = 666.

It is not a de Polignac number, because 56565405 - 24 = 56565389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56565405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292989 + ... + 293181.

It is an arithmetic number, because the mean of its divisors is an integer number (1711080).

Almost surely, 256565405 is an apocalyptic number.

It is an amenable number.

56565405 is a deficient number, since it is larger than the sum of its proper divisors (52943715).

56565405 is a wasteful number, since it uses less digits than its factorization.

56565405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 56565405 is about 7520.9976067009. The cubic root of 56565405 is about 383.8695235425.

Adding to 56565405 its sum of digits (36), we get a square (56565441 = 75212).

The spelling of 56565405 in words is "fifty-six million, five hundred sixty-five thousand, four hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 167 193 195 351 501 579 585 835 965 1503 1737 1755 2171 2505 2509 2895 4509 5211 6513 7515 7527 8685 10855 12545 19539 22545 22581 26055 32231 32565 37635 58617 67743 96693 97695 112905 161155 290079 293085 338715 419003 483465 870237 1257009 1450395 2095015 3771027 4351185 6285045 11313081 18855135 56565405