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4956264 = 2332193623
BaseRepresentation
bin10010111010000001101000
3100022210201100
4102322001220
52232100024
6254121400
760061515
oct22720150
910283640
104956264
112885795
1217b0260
131046c01
1493030c
1567d7c9
hex4ba068

4956264 has 48 divisors (see below), whose sum is σ = 14133600. Its totient is φ = 1564704.

The previous prime is 4956253. The next prime is 4956269. The reversal of 4956264 is 4626594.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4956269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (294450).

Almost surely, 24956264 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 4956264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066800).

4956264 is an abundant number, since it is smaller than the sum of its proper divisors (9177336).

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

4956264 is a wasteful number, since it uses less digits than its factorization.

4956264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3647 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4956264 is about 2226.2668303687. The cubic root of 4956264 is about 170.4975504388.

The spelling of 4956264 in words is "four million, nine hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 3623 7246 10869 14492 21738 28984 32607 43476 65214 68837 86952 130428 137674 206511 260856 275348 413022 550696 619533 826044 1239066 1652088 2478132 4956264