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56224476 = 22337116761
BaseRepresentation
bin1101011001111…
…0101011011100
310220210111111000
43112132223130
5103343140401
65325030300
71251620520
oct326365334
9126714430
1056224476
1129812310
12169b5390
13b857629
147677d80
154e09186
hex359eadc

56224476 has 96 divisors (see below), whose sum is σ = 181762560. Its totient is φ = 14601600.

The previous prime is 56224471. The next prime is 56224499. The reversal of 56224476 is 67442265.

56224476 is a `hidden beast` number, since 562 + 24 + 4 + 76 = 666.

It is a super-2 number, since 2×562244762 = 6322383402949152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56224476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56224471) 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, 4936 + ... + 11696.

It is an arithmetic number, because the mean of its divisors is an integer number (1893360).

Almost surely, 256224476 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 56224476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90881280).

56224476 is an abundant number, since it is smaller than the sum of its proper divisors (125538084).

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

56224476 is a wasteful number, since it uses less digits than its factorization.

56224476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6784 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 56224476 is about 7498.2982069267. The cubic root of 56224476 is about 383.0967540009.

The spelling of 56224476 in words is "fifty-six million, two hundred twenty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 6761 8316 13522 20283 27044 40566 47327 60849 74371 81132 94654 121698 141981 148742 182547 189308 223113 243396 283962 297484 365094 425943 446226 520597 567924 669339 730188 851886 892452 1041194 1277829 1338678 1561791 1703772 2008017 2082388 2555658 2677356 3123582 4016034 4685373 5111316 6247164 8032068 9370746 14056119 18741492 28112238 56224476