Search a number
-
+
56566125 = 3253711653
BaseRepresentation
bin1101011111001…
…0000101101101
310221102212010200
43113302011231
5103440104000
65340224113
71254542550
oct327620555
9127385120
1056566125
1129a25a70
1216b3b039
13b946ca5
147726697
154e75500
hex35f216d

56566125 has 96 divisors (see below), whose sum is σ = 127325952. Its totient is φ = 23472000.

The previous prime is 56566117. The next prime is 56566151. The reversal of 56566125 is 52166565.

It is a happy number.

It is not a de Polignac number, because 56566125 - 23 = 56566117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56566125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86299 + ... + 86951.

It is an arithmetic number, because the mean of its divisors is an integer number (1326312).

Almost surely, 256566125 is an apocalyptic number.

56566125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56566125 is an abundant number, since it is smaller than the sum of its proper divisors (70759827).

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

56566125 is a wasteful number, since it uses less digits than its factorization.

56566125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 56566125 is about 7521.0454725390. The cubic root of 56566125 is about 383.8711522464.

It can be divided in two parts, 5656 and 6125, that added together give a triangular number (11781 = T153).

The spelling of 56566125 in words is "fifty-six million, five hundred sixty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 125 165 175 225 231 275 315 375 385 495 525 653 693 825 875 1125 1155 1375 1575 1925 1959 2475 2625 3265 3465 4125 4571 5775 5877 7183 7875 9625 9795 12375 13713 16325 17325 21549 22855 28875 29385 35915 41139 48975 50281 64647 68565 81625 86625 107745 114275 146925 150843 179575 205695 244875 251405 323235 342825 452529 538725 571375 734625 754215 897875 1028475 1257025 1616175 1714125 2262645 2693625 3771075 5142375 6285125 8080875 11313225 18855375 56566125