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56361480 = 23357229293
BaseRepresentation
bin1101011100000…
…0001000001000
310221001110102020
43113000020020
5103412031410
65332004440
71253031120
oct327001010
9127043366
1056361480
11298a623a
1216a60720
13b8a4ab6
1476b1c80
154e34a70
hex35c0208

56361480 has 128 divisors (see below), whose sum is σ = 194745600. Its totient is φ = 12782592.

The previous prime is 56361479. The next prime is 56361491. The reversal of 56361480 is 8416365.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192214 + ... + 192506.

It is an arithmetic number, because the mean of its divisors is an integer number (1521450).

Almost surely, 256361480 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 56361480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97372800).

56361480 is an abundant number, since it is smaller than the sum of its proper divisors (138384120).

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

56361480 is a wasteful number, since it uses less digits than its factorization.

56361480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 56361480 is about 7507.4283213361. The cubic root of 56361480 is about 383.4076696837.

The spelling of 56361480 in words is "fifty-six million, three hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 229 280 293 420 458 586 687 840 879 916 1145 1172 1374 1465 1603 1758 1832 2051 2290 2344 2748 2930 3206 3435 3516 4102 4395 4580 4809 5496 5860 6153 6412 6870 7032 8015 8204 8790 9160 9618 10255 11720 12306 12824 13740 16030 16408 17580 19236 20510 24045 24612 27480 30765 32060 35160 38472 41020 48090 49224 61530 64120 67097 82040 96180 123060 134194 192360 201291 246120 268388 335485 402582 469679 536776 670970 805164 939358 1006455 1341940 1409037 1610328 1878716 2012910 2348395 2683880 2818074 3757432 4025820 4696790 5636148 7045185 8051640 9393580 11272296 14090370 18787160 28180740 56361480