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4964136 = 23317233
BaseRepresentation
bin10010111011111100101000
3100100012111220
4102323330220
52232323021
6254222040
760123462
oct22737450
910305456
104964136
1128906a1
1217b4920
13104a678
14933132
15680cc6
hex4bbf28

4964136 has 64 divisors (see below), whose sum is σ = 13737600. Its totient is φ = 1489664.

The previous prime is 4964129. The next prime is 4964171. The reversal of 4964136 is 6314694.

It is a junction number, because it is equal to n+sod(n) for n = 4964097 and 4964106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215821 + ... + 215843.

It is an arithmetic number, because the mean of its divisors is an integer number (214650).

Almost surely, 24964136 is an apocalyptic number.

4964136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868800).

4964136 is an abundant number, since it is smaller than the sum of its proper divisors (8773464).

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

4964136 is a wasteful number, since it uses less digits than its factorization.

4964136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 45 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 4964136 is about 2228.0341110495. The cubic root of 4964136 is about 170.5877693862.

The spelling of 4964136 in words is "four million, nine hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 529 552 782 1058 1173 1564 1587 2116 2346 3128 3174 4232 4692 6348 8993 9384 12167 12696 17986 24334 26979 35972 36501 48668 53958 71944 73002 97336 107916 146004 206839 215832 292008 413678 620517 827356 1241034 1654712 2482068 4964136