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5308624 = 241729673
BaseRepresentation
bin10100010000000011010000
3100222201001201
4110100003100
52324333444
6305440544
763060016
oct24200320
910881051
105308624
112aa64a2
121940154
13113b3c9
149c28b6
156ecdd4
hex5100d0

5308624 has 40 divisors (see below), whose sum is σ = 11282760. Its totient is φ = 2408448.

The previous prime is 5308609. The next prime is 5308637. The reversal of 5308624 is 4268035.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 4243600 = 1032^2 + 2060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5308592 and 5308601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7552 + ... + 8224.

It is an arithmetic number, because the mean of its divisors is an integer number (282069).

Almost surely, 25308624 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 5308624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641380).

5308624 is an abundant number, since it is smaller than the sum of its proper divisors (5974136).

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

5308624 is a wasteful number, since it uses less digits than its factorization.

5308624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5308624 is about 2304.0451384467. The cubic root of 5308624 is about 174.4458552934.

The spelling of 5308624 in words is "five million, three hundred eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 673 986 1346 1972 2692 3944 5384 7888 10768 11441 19517 22882 39034 45764 78068 91528 156136 183056 312272 331789 663578 1327156 2654312 5308624