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5258496 = 28341167
BaseRepresentation
bin10100000011110100000000
3100220011022010
4110003310000
52321232441
6304412520
762460615
oct24036400
910804263
105258496
112a71871
121917140
131121649
149ac50c
156dd116
hex503d00

5258496 has 72 divisors (see below), whose sum is σ = 14422464. Its totient is φ = 1699840.

The previous prime is 5258489. The next prime is 5258503. The reversal of 5258496 is 6948525.

It is an interprime number because it is at equal distance from previous prime (5258489) and next prime (5258503).

It is an Ulam number.

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, 31405 + ... + 31571.

It is an arithmetic number, because the mean of its divisors is an integer number (200312).

Almost surely, 25258496 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 5258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211232).

5258496 is an abundant number, since it is smaller than the sum of its proper divisors (9163968).

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

5258496 is a wasteful number, since it uses less digits than its factorization.

5258496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 5258496 is about 2293.1410772127. The cubic root of 5258496 is about 173.8950351208.

The spelling of 5258496 in words is "five million, two hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 167 192 246 256 328 334 384 492 501 656 668 768 984 1002 1312 1336 1968 2004 2624 2672 3936 4008 5248 5344 6847 7872 8016 10496 10688 13694 15744 16032 20541 21376 27388 31488 32064 41082 42752 54776 64128 82164 109552 128256 164328 219104 328656 438208 657312 876416 1314624 1752832 2629248 5258496