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5237136 = 2436449
BaseRepresentation
bin10011111110100110010000
3100212002000000
4103332212100
52320042021
6304130000
762341422
oct23764620
910762000
105237136
112a57813
121906900
1311149c8
149a4812
156d6b26
hex4fe990

5237136 has 70 divisors (see below), whose sum is σ = 15247350. Its totient is φ = 1741824.

The previous prime is 5237131. The next prime is 5237137. The reversal of 5237136 is 6317325.

It is a happy number.

5237136 is a `hidden beast` number, since 523 + 7 + 136 = 666.

5237136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 571536 = 2160^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5237131) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11440 + ... + 11888.

Almost surely, 25237136 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 5237136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623675).

5237136 is an abundant number, since it is smaller than the sum of its proper divisors (10010214).

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

5237136 is an equidigital number, since it uses as much as digits as its factorization.

5237136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 454 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 5237136 is about 2288.4789708450. The cubic root of 5237136 is about 173.6592618362.

The spelling of 5237136 in words is "five million, two hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 449 486 648 729 898 972 1296 1347 1458 1796 1944 2694 2916 3592 3888 4041 5388 5832 7184 8082 10776 11664 12123 16164 21552 24246 32328 36369 48492 64656 72738 96984 109107 145476 193968 218214 290952 327321 436428 581904 654642 872856 1309284 1745712 2618568 5237136