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5251296 = 253192879
BaseRepresentation
bin10100000010000011100000
3100212210102110
4110002003200
52321020141
6304315320
762430621
oct24020340
910783373
105251296
112a67416
121912b40
13111b29b
149a9a48
156dae16
hex5020e0

5251296 has 48 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1657728.

The previous prime is 5251273. The next prime is 5251331. The reversal of 5251296 is 6921525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×52512962 = 55152219359232, which contains 22 as substring.

It is a d-powerful number, because it can be written as 5 + 220 + 54 + 1 + 222 + 9 + 65 .

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, 385 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 25251296 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 5251296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5251296 is an abundant number, since it is smaller than the sum of its proper divisors (9263904).

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

5251296 is a wasteful number, since it uses less digits than its factorization.

5251296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2903 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 5251296 is about 2291.5706404124. The cubic root of 5251296 is about 173.8156324345.

The spelling of 5251296 in words is "five million, two hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2879 5758 8637 11516 17274 23032 34548 46064 54701 69096 92128 109402 138192 164103 218804 276384 328206 437608 656412 875216 1312824 1750432 2625648 5251296