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56389760 = 275741307
BaseRepresentation
bin1101011100011…
…1000010000000
310221002220012122
43113013002000
5103413433020
65332343412
71253206430
oct327070200
9127086178
1056389760
1129915509
1216a74b68
13b8b492b
1476bc2c0
154e3d125
hex35c7080

56389760 has 128 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 18800640.

The previous prime is 56389759. The next prime is 56389763. The reversal of 56389760 is 6798365.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (56389763) 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, 183527 + ... + 183833.

It is an arithmetic number, because the mean of its divisors is an integer number (1237005).

Almost surely, 256389760 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 56389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168320).

56389760 is an abundant number, since it is smaller than the sum of its proper divisors (101946880).

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

56389760 is a wasteful number, since it uses less digits than its factorization.

56389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 56389760 is about 7509.3115529987. The cubic root of 56389760 is about 383.4717853167.

The spelling of 56389760 in words is "fifty-six million, three hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 280 287 307 320 328 410 448 560 574 614 640 656 820 896 1120 1148 1228 1312 1435 1535 1640 2149 2240 2296 2456 2624 2870 3070 3280 4298 4480 4592 4912 5248 5740 6140 6560 8596 9184 9824 10745 11480 12280 12587 13120 17192 18368 19648 21490 22960 24560 25174 26240 34384 36736 39296 42980 45920 49120 50348 62935 68768 85960 88109 91840 98240 100696 125870 137536 171920 176218 183680 196480 201392 251740 275072 343840 352436 402784 440545 503480 687680 704872 805568 881090 1006960 1375360 1409744 1611136 1762180 2013920 2819488 3524360 4027840 5638976 7048720 8055680 11277952 14097440 28194880 56389760