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5175264 = 253313747
BaseRepresentation
bin10011101111011111100000
3100201221010110
4103233133200
52311102024
6302531320
761663143
oct23573740
910657113
105175264
112a15286
121896b40
1310c27b3
1498a05a
156c3629
hex4ef7e0

5175264 has 96 divisors (see below), whose sum is σ = 14708736. Its totient is φ = 1589760.

The previous prime is 5175251. The next prime is 5175271. The reversal of 5175264 is 4625715.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (8400) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110089 + ... + 110135.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

Almost surely, 25175264 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 5175264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368).

5175264 is an abundant number, since it is smaller than the sum of its proper divisors (9533472).

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

5175264 is a wasteful number, since it uses less digits than its factorization.

5175264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 5175264 is about 2274.9206579571. The cubic root of 5175264 is about 172.9726754711.

The spelling of 5175264 in words is "five million, one hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 47 48 62 74 93 94 96 111 124 141 148 186 188 222 248 282 296 372 376 444 496 564 592 744 752 888 992 1128 1147 1184 1457 1488 1504 1739 1776 2256 2294 2914 2976 3441 3478 3552 4371 4512 4588 5217 5828 6882 6956 8742 9176 10434 11656 13764 13912 17484 18352 20868 23312 27528 27824 34968 36704 41736 46624 53909 55056 55648 69936 83472 107818 110112 139872 161727 166944 215636 323454 431272 646908 862544 1293816 1725088 2587632 5175264