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5258032 = 2413171487
BaseRepresentation
bin10100000011101100110000
3100220010122221
4110003230300
52321224112
6304410424
762456353
oct24035460
910803587
105258032
112a7148a
121916a14
131121380
149ac29a
156dce07
hex503b30

5258032 has 40 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 2282496.

The previous prime is 5258027. The next prime is 5258059. The reversal of 5258032 is 2308525.

It is a junction number, because it is equal to n+sod(n) for n = 5257988 and 5258006.

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, 2793 + ... + 4279.

Almost surely, 25258032 is an apocalyptic number.

5258032 is a gapful number since it is divisible by the number (52) 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 5258032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

5258032 is an abundant number, since it is smaller than the sum of its proper divisors (6366224).

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

5258032 is a wasteful number, since it uses less digits than its factorization.

5258032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5258032 is about 2293.0399037086. The cubic root of 5258032 is about 173.8899202445.

The spelling of 5258032 in words is "five million, two hundred fifty-eight thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1487 1768 2974 3536 5948 11896 19331 23792 25279 38662 50558 77324 101116 154648 202232 309296 328627 404464 657254 1314508 2629016 5258032