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5125536 = 253213372
BaseRepresentation
bin10011100011010110100000
3100122101220200
4103203112200
52303004121
6301505200
761365153
oct23432640
910571820
105125536
112990989
121872200
1310a5c80
14975c9a
156b3a26
hex4e35a0

5125536 has 108 divisors (see below), whose sum is σ = 16132662. Its totient is φ = 1534464.

The previous prime is 5125531. The next prime is 5125541. The reversal of 5125536 is 6355215.

5125536 is a `hidden beast` number, since 5 + 125 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (5125531) and next prime (5125541).

It can be written as a sum of positive squares in 3 ways, for example, as 5035536 + 90000 = 2244^2 + 300^2 .

It is a super-2 number, since 2×51255362 = 52542238574592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5125531) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138510 + ... + 138546.

Almost surely, 25125536 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 5125536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066331).

5125536 is an abundant number, since it is smaller than the sum of its proper divisors (11007126).

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

5125536 is a wasteful number, since it uses less digits than its factorization.

5125536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 55 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 5125536 is about 2263.9646640352. The cubic root of 5125536 is about 172.4168723606.

The spelling of 5125536 in words is "five million, one hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 72 74 78 96 104 111 117 144 148 156 208 222 234 288 296 312 333 416 444 468 481 592 624 666 888 936 962 1184 1248 1332 1369 1443 1776 1872 1924 2664 2738 2886 3552 3744 3848 4107 4329 5328 5476 5772 7696 8214 8658 10656 10952 11544 12321 15392 16428 17316 17797 21904 23088 24642 32856 34632 35594 43808 46176 49284 53391 65712 69264 71188 98568 106782 131424 138528 142376 160173 197136 213564 284752 320346 394272 427128 569504 640692 854256 1281384 1708512 2562768 5125536