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56677530 = 23571321597
BaseRepresentation
bin1101100000110…
…1010010011010
310221122111221210
43120031102122
5104002140110
65342443550
71255515420
oct330152232
9127574853
1056677530
1129aa1738
1216b935b6
13b985900
147755110
154e98520
hex360d49a

56677530 has 96 divisors (see below), whose sum is σ = 168441984. Its totient is φ = 11950848.

The previous prime is 56677529. The next prime is 56677549. The reversal of 56677530 is 3577665.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34692 + ... + 36288.

It is an arithmetic number, because the mean of its divisors is an integer number (1754604).

Almost surely, 256677530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56677530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84220992).

56677530 is an abundant number, since it is smaller than the sum of its proper divisors (111764454).

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

56677530 is a wasteful number, since it uses less digits than its factorization.

56677530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 56677530 is about 7528.4480472405. The cubic root of 56677530 is about 384.1229939129.

The spelling of 56677530 in words is "fifty-six million, six hundred seventy-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1597 1690 2366 2535 2730 3194 3549 4791 5070 5915 7098 7985 9582 11179 11830 15970 17745 20761 22358 23955 33537 35490 41522 47910 55895 62283 67074 103805 111790 124566 145327 167685 207610 269893 290654 311415 335370 435981 539786 622830 726635 809679 871962 1349465 1453270 1619358 1889251 2179905 2698930 3778502 4048395 4359810 5667753 8096790 9446255 11335506 18892510 28338765 56677530