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56020272 = 24371123659
BaseRepresentation
bin1101010110110…
…0110100110000
310220102010100220
43111230310300
5103320122042
65320413040
71250110260
oct325546460
9126363326
1056020272
1129692950
1216917180
13b7b56b9
1476237a0
154db88ec
hex356cd30

56020272 has 160 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 13896960.

The previous prime is 56020247. The next prime is 56020297. The reversal of 56020272 is 27202065.

56020272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56020247) and next prime (56020297).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84679 + ... + 85337.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 256020272 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 56020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

56020272 is an abundant number, since it is smaller than the sum of its proper divisors (132539088).

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

56020272 is a wasteful number, since it uses less digits than its factorization.

56020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 56020272 is about 7484.6691309636. The cubic root of 56020272 is about 382.6323963908.

The spelling of 56020272 in words is "fifty-six million, twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 462 483 506 528 552 616 644 659 759 924 966 1012 1104 1232 1288 1318 1518 1771 1848 1932 1977 2024 2576 2636 3036 3542 3696 3864 3954 4048 4613 5272 5313 6072 7084 7249 7728 7908 9226 10544 10626 12144 13839 14168 14498 15157 15816 18452 21252 21747 27678 28336 28996 30314 31632 36904 42504 43494 45471 50743 55356 57992 60628 73808 85008 86988 90942 101486 106099 110712 115984 121256 152229 166727 173976 181884 202972 212198 221424 242512 304458 318297 333454 347952 363768 405944 424396 500181 608916 636594 666908 727536 811888 848792 1000362 1167089 1217832 1273188 1333816 1697584 2000724 2334178 2435664 2546376 2667632 3501267 4001448 4668356 5092752 7002534 8002896 9336712 14005068 18673424 28010136 56020272