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625464540 = 2232531111173
BaseRepresentation
bin100101010001111…
…101010011011100
31121120220220001100
4211101331103130
52240104331130
6142021513100
721333234531
oct4521752334
91546826040
10625464540
112a1070848
12155572790
139c77337c
145d0d4d88
1539d9cc60
hex2547d4dc

625464540 has 72 divisors (see below), whose sum is σ = 1903513248. Its totient is φ = 166239360.

The previous prime is 625464533. The next prime is 625464569. The reversal of 625464540 is 45464526.

625464540 is a `hidden beast` number, since 6 + 2 + 5 + 4 + 645 + 4 + 0 = 666.

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

It is a cake number, because a cake can be divided into 625464540 parts by 1554 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 625464495 and 625464504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50394 + ... + 61566.

It is an arithmetic number, because the mean of its divisors is an integer number (26437684).

Almost surely, 2625464540 is an apocalyptic number.

625464540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625464540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951756624).

625464540 is an abundant number, since it is smaller than the sum of its proper divisors (1278048708).

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

625464540 is a wasteful number, since it uses less digits than its factorization.

625464540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11494 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 625464540 is about 25009.2890742620. The cubic root of 625464540 is about 855.1997481392.

The spelling of 625464540 in words is "six hundred twenty-five million, four hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2799 3110 3732 4665 5598 6220 9330 11173 11196 13995 18660 22346 27990 33519 44692 55865 55980 67038 100557 111730 134076 167595 201114 223460 335190 402228 502785 670380 1005570 2011140 3474803 6949606 10424409 13899212 17374015 20848818 31273227 34748030 41697636 52122045 62546454 69496060 104244090 125092908 156366135 208488180 312732270 625464540