Search a number
-
+
56547260 = 22571173503
BaseRepresentation
bin1101011110110…
…1011110111100
310221101220020222
43113231132330
5103434003020
65340000512
71254433550
oct327553674
9127356228
1056547260
1129a12880
1216b30138
13b93b523
14771d860
154e6eb25
hex35ed7bc

56547260 has 96 divisors (see below), whose sum is σ = 150377472. Its totient is φ = 17349120.

The previous prime is 56547247. The next prime is 56547277. The reversal of 56547260 is 6274565.

It is a super-2 number, since 2×565472602 = 6395185227015200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56547260.

It is a congruent number.

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, 112169 + ... + 112671.

It is an arithmetic number, because the mean of its divisors is an integer number (1566432).

Almost surely, 256547260 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 56547260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75188736).

56547260 is an abundant number, since it is smaller than the sum of its proper divisors (93830212).

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

56547260 is a wasteful number, since it uses less digits than its factorization.

56547260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 56547260 is about 7519.7912205061. The cubic root of 56547260 is about 383.8284733788.

The spelling of 56547260 in words is "fifty-six million, five hundred forty-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 503 511 730 770 803 1006 1022 1460 1540 1606 2012 2044 2515 2555 3212 3521 4015 5030 5110 5533 5621 7042 8030 10060 10220 11066 11242 14084 16060 17605 22132 22484 27665 28105 35210 36719 38731 55330 56210 70420 73438 77462 110660 112420 146876 154924 183595 193655 257033 367190 387310 403909 514066 734380 774620 807818 1028132 1285165 1615636 2019545 2570330 2827363 4039090 5140660 5654726 8078180 11309452 14136815 28273630 56547260