Search a number
-
+
56523528 = 23331511733
BaseRepresentation
bin1101011110011…
…1101100001000
310221100200201000
43113213230020
5103432223103
65335255000
71254304425
oct327475410
9127320630
1056523528
11299a6a66
1216b1a460
13b930799
147714d4c
154e67aa3
hex35e7b08

56523528 has 64 divisors (see below), whose sum is σ = 158140800. Its totient is φ = 18705600.

The previous prime is 56523517. The next prime is 56523529. The reversal of 56523528 is 82532565.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56523492 and 56523501.

It is not an unprimeable number, because it can be changed into a prime (56523529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31750 + ... + 33482.

It is an arithmetic number, because the mean of its divisors is an integer number (2470950).

Almost surely, 256523528 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 56523528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79070400).

56523528 is an abundant number, since it is smaller than the sum of its proper divisors (101617272).

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

56523528 is a wasteful number, since it uses less digits than its factorization.

56523528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1889 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 56523528 is about 7518.2130855676. The cubic root of 56523528 is about 383.7747702643.

It can be divided in two parts, 5652 and 3528, that added together give a triangular number (9180 = T135).

The spelling of 56523528 in words is "fifty-six million, five hundred twenty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 906 1208 1359 1733 1812 2718 3466 3624 4077 5199 5436 6932 8154 10398 10872 13864 15597 16308 20796 31194 32616 41592 46791 62388 93582 124776 187164 261683 374328 523366 785049 1046732 1570098 2093464 2355147 3140196 4710294 6280392 7065441 9420588 14130882 18841176 28261764 56523528