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56677488 = 2437374797
BaseRepresentation
bin1101100000110…
…1010001110000
310221122111220020
43120031101300
5104002134423
65342443440
71255515330
oct330152160
9127574806
1056677488
1129aa16aa
1216b93580
13b98589a
1477550c0
154e984e3
hex360d470

56677488 has 160 divisors (see below), whose sum is σ = 177321984. Its totient is φ = 15261696.

The previous prime is 56677477. The next prime is 56677499. The reversal of 56677488 is 88477665.

It is an interprime number because it is at equal distance from previous prime (56677477) and next prime (56677499).

It is a self number, because there is not a number n which added to its sum of digits gives 56677488.

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 31 ways as a sum of consecutive naturals, for example, 584256 + ... + 584352.

Almost surely, 256677488 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 56677488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

56677488 is an abundant number, since it is smaller than the sum of its proper divisors (120644496).

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

56677488 is a wasteful number, since it uses less digits than its factorization.

56677488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 56677488 is about 7528.4452578205. The cubic root of 56677488 is about 384.1228990301.

The spelling of 56677488 in words is "fifty-six million, six hundred seventy-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 47 48 56 74 84 94 97 111 112 141 148 168 188 194 222 259 282 291 296 329 336 376 388 444 518 564 582 592 658 679 752 776 777 888 987 1036 1128 1164 1316 1358 1552 1554 1739 1776 1974 2037 2072 2256 2328 2632 2716 3108 3478 3589 3948 4074 4144 4559 4656 5217 5264 5432 6216 6956 7178 7896 8148 9118 10434 10767 10864 12173 12432 13677 13912 14356 15792 16296 18236 20868 21534 24346 25123 27354 27824 28712 31913 32592 36472 36519 41736 43068 48692 50246 54708 57424 63826 72944 73038 75369 83472 86136 95739 97384 100492 109416 127652 146076 150738 168683 172272 191478 194768 200984 218832 255304 292152 301476 337366 382956 401968 506049 510608 584304 602952 674732 765912 1012098 1180781 1205904 1349464 1531824 2024196 2361562 2698928 3542343 4048392 4723124 7084686 8096784 9446248 14169372 18892496 28338744 56677488