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5125632 = 2934771
BaseRepresentation
bin10011100011011000000000
3100122102001020
4103203120000
52303010012
6301505440
761365351
oct23433000
910572036
105125632
112990a66
121872280
1310a6025
14975d28
156b3a8c
hex4e3600

5125632 has 80 divisors (see below), whose sum is σ = 14141952. Its totient is φ = 1648640.

The previous prime is 5125609. The next prime is 5125639. The reversal of 5125632 is 2365215.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

5125632 is a modest number, since divided by 5632 gives 512 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5125639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72157 + ... + 72227.

Almost surely, 25125632 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 5125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976).

5125632 is an abundant number, since it is smaller than the sum of its proper divisors (9016320).

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

5125632 is an equidigital number, since it uses as much as digits as its factorization.

5125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 5125632 is about 2263.9858656803. The cubic root of 5125632 is about 172.4179487955.

The spelling of 5125632 in words is "five million, one hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 71 94 96 128 141 142 188 192 213 256 282 284 376 384 426 512 564 568 752 768 852 1128 1136 1504 1536 1704 2256 2272 3008 3337 3408 4512 4544 6016 6674 6816 9024 9088 10011 12032 13348 13632 18048 18176 20022 24064 26696 27264 36096 36352 40044 53392 54528 72192 80088 106784 109056 160176 213568 320352 427136 640704 854272 1281408 1708544 2562816 5125632