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56509024 = 25111353233
BaseRepresentation
bin1101011110010…
…0001001100000
310221022221210211
43113210021200
5103431242044
65335103504
71254214225
oct327441140
9127287724
1056509024
1129997080
1216b11b94
13b926cc0
14770d94c
154e63634
hex35e4260

56509024 has 96 divisors (see below), whose sum is σ = 133739424. Its totient is φ = 23162880.

The previous prime is 56508989. The next prime is 56509043. The reversal of 56509024 is 42090565.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242412 + ... + 242644.

It is an arithmetic number, because the mean of its divisors is an integer number (1393119).

Almost surely, 256509024 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 56509024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66869712).

56509024 is an abundant number, since it is smaller than the sum of its proper divisors (77230400).

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

56509024 is a wasteful number, since it uses less digits than its factorization.

56509024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 56509024 is about 7517.2484327711. The cubic root of 56509024 is about 383.7419417789.

Adding to 56509024 its reverse (42090565), we get a palindrome (98599589).

The spelling of 56509024 in words is "fifty-six million, five hundred nine thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 88 104 106 143 176 208 212 233 286 352 416 424 466 572 583 689 848 932 1144 1166 1378 1696 1864 2288 2332 2563 2756 3029 3728 4576 4664 5126 5512 6058 7456 7579 9328 10252 11024 12116 12349 15158 18656 20504 22048 24232 24698 30316 33319 41008 48464 49396 60632 66638 82016 96928 98792 121264 133276 135839 160537 197584 242528 266552 271678 321074 395168 533104 543356 642148 1066208 1086712 1284296 1765907 2173424 2568592 3531814 4346848 5137184 7063628 14127256 28254512 56509024