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5292624 = 243711553
BaseRepresentation
bin10100001100001001010000
3100221220010010
4110030021100
52323330444
6305234520
762662251
oct24141120
910856103
105292624
112a95477
121932a40
13113403c
149bab28
156e82b9
hex50c250

5292624 has 40 divisors (see below), whose sum is σ = 13874112. Its totient is φ = 1738240.

The previous prime is 5292613. The next prime is 5292641. The reversal of 5292624 is 4262925.

It is a junction number, because it is equal to n+sod(n) for n = 5292591 and 5292600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2632 + ... + 4184.

Almost surely, 25292624 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 5292624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937056).

5292624 is an abundant number, since it is smaller than the sum of its proper divisors (8581488).

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

5292624 is a wasteful number, since it uses less digits than its factorization.

5292624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1629 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 5292624 is about 2300.5703640619. The cubic root of 5292624 is about 174.2704210996.

The spelling of 5292624 in words is "five million, two hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1553 1704 3106 3408 4659 6212 9318 12424 18636 24848 37272 74544 110263 220526 330789 441052 661578 882104 1323156 1764208 2646312 5292624