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56772240 = 2435747719
BaseRepresentation
bin1101100010010…
…0011010010000
310221211022212120
43120210122100
5104013202430
65344454240
71256361510
oct330443220
9127738776
1056772240
112a056908
121701a380
13b9b9a55
14777b840
154eb6610
hex3624690

56772240 has 160 divisors (see below), whose sum is σ = 205701120. Its totient is φ = 12682752.

The previous prime is 56772229. The next prime is 56772241. The reversal of 56772240 is 4227765.

It is not an unprimeable number, because it can be changed into a prime (56772241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78601 + ... + 79319.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 256772240 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 56772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

56772240 is an abundant number, since it is smaller than the sum of its proper divisors (148928880).

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

56772240 is a wasteful number, since it uses less digits than its factorization.

56772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 56772240 is about 7534.7355627122. The cubic root of 56772240 is about 384.3368355260.

The spelling of 56772240 in words is "fifty-six million, seven hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 719 752 840 940 987 1128 1316 1410 1438 1645 1680 1880 1974 2157 2256 2632 2820 2876 3290 3595 3760 3948 4314 4935 5033 5264 5640 5752 6580 7190 7896 8628 9870 10066 10785 11280 11504 13160 14380 15099 15792 17256 19740 20132 21570 25165 26320 28760 30198 33793 34512 39480 40264 43140 50330 57520 60396 67586 75495 78960 80528 86280 100660 101379 120792 135172 150990 168965 172560 201320 202758 236551 241584 270344 301980 337930 402640 405516 473102 506895 540688 603960 675860 709653 811032 946204 1013790 1182755 1207920 1351720 1419306 1622064 1892408 2027580 2365510 2703440 2838612 3548265 3784816 4055160 4731020 5677224 7096530 8110320 9462040 11354448 14193060 18924080 28386120 56772240