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5213952 = 28323173
BaseRepresentation
bin10011111000111100000000
3100210220012100
4103320330000
52313321302
6303430400
762214012
oct23707400
910726170
105213952
112a41357
1218b5400
1311072a3
1499a1b2
156ced1c
hex4f8f00

5213952 has 108 divisors (see below), whose sum is σ = 15730624. Its totient is φ = 1658880.

The previous prime is 5213947. The next prime is 5213959. The reversal of 5213952 is 2593125.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5213959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71388 + ... + 71460.

Almost surely, 25213952 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 5213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865312).

5213952 is an abundant number, since it is smaller than the sum of its proper divisors (10516672).

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

5213952 is a wasteful number, since it uses less digits than its factorization.

5213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5213952 is about 2283.4079793151. The cubic root of 5213952 is about 173.4026284408.

The spelling of 5213952 in words is "five million, two hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 73 93 96 124 128 144 146 186 192 219 248 256 279 288 292 372 384 438 496 558 576 584 657 744 768 876 992 1116 1152 1168 1314 1488 1752 1984 2232 2263 2304 2336 2628 2976 3504 3968 4464 4526 4672 5256 5952 6789 7008 7936 8928 9052 9344 10512 11904 13578 14016 17856 18104 18688 20367 21024 23808 27156 28032 35712 36208 40734 42048 54312 56064 71424 72416 81468 84096 108624 144832 162936 168192 217248 289664 325872 434496 579328 651744 868992 1303488 1737984 2606976 5213952