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5306624 = 28191091
BaseRepresentation
bin10100001111100100000000
3100222121022122
4110033210000
52324302444
6305423412
763051131
oct24174400
910877278
105306624
112aa4a44
12193ab68
13113a51b
149c1c88
156ec4ee
hex50f900

5306624 has 36 divisors (see below), whose sum is σ = 11160240. Its totient is φ = 2511360.

The previous prime is 5306621. The next prime is 5306627. The reversal of 5306624 is 4266035.

It is an interprime number because it is at equal distance from previous prime (5306621) and next prime (5306627).

It is a junction number, because it is equal to n+sod(n) for n = 5306593 and 5306602.

It is not an unprimeable number, because it can be changed into a prime (5306621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4319 + ... + 5409.

Almost surely, 25306624 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 5306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580120).

5306624 is an abundant number, since it is smaller than the sum of its proper divisors (5853616).

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

5306624 is a wasteful number, since it uses less digits than its factorization.

5306624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 5306624 is about 2303.6110782856. The cubic root of 5306624 is about 174.4239453135.

The spelling of 5306624 in words is "five million, three hundred six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1091 1216 2182 2432 4364 4864 8728 17456 20729 34912 41458 69824 82916 139648 165832 279296 331664 663328 1326656 2653312 5306624