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5042136 = 2331171269
BaseRepresentation
bin10011001110111111011000
3100111011111210
4103032333120
52242322021
6300023120
760600051
oct23167730
910434453
105042136
112934260
121831aa0
131077018
14953728
15698e76
hex4cefd8

5042136 has 64 divisors (see below), whose sum is σ = 13996800. Its totient is φ = 1500800.

The previous prime is 5042131. The next prime is 5042171. The reversal of 5042136 is 6312405.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18610 + ... + 18878.

It is an arithmetic number, because the mean of its divisors is an integer number (218700).

Almost surely, 25042136 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 5042136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998400).

5042136 is an abundant number, since it is smaller than the sum of its proper divisors (8954664).

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

5042136 is a wasteful number, since it uses less digits than its factorization.

5042136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5042136 is about 2245.4701066814. The cubic root of 5042136 is about 171.4765952755.

The spelling of 5042136 in words is "five million, forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 269 284 426 538 568 781 807 852 1076 1562 1614 1704 2152 2343 2959 3124 3228 4686 5918 6248 6456 8877 9372 11836 17754 18744 19099 23672 35508 38198 57297 71016 76396 114594 152792 210089 229188 420178 458376 630267 840356 1260534 1680712 2521068 5042136