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4960256 = 2127173
BaseRepresentation
bin10010111011000000000000
3100100000012012
4102323000000
52232212011
6254152052
760106250
oct22730000
910300165
104960256
112888794
1217b2628
131048982
14931960
1567ea8b
hex4bb000

4960256 has 52 divisors (see below), whose sum is σ = 11401872. Its totient is φ = 2113536.

The previous prime is 4960231. The next prime is 4960259. The reversal of 4960256 is 6520694.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4960259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28586 + ... + 28758.

Almost surely, 24960256 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 4960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700936).

4960256 is an abundant number, since it is smaller than the sum of its proper divisors (6441616).

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

4960256 is an equidigital number, since it uses as much as digits as its factorization.

4960256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 4960256 is about 2227.1632180871. The cubic root of 4960256 is about 170.5433136432.

The spelling of 4960256 in words is "four million, nine hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 256 346 448 512 692 896 1024 1211 1384 1792 2048 2422 2768 3584 4096 4844 5536 7168 9688 11072 14336 19376 22144 28672 38752 44288 77504 88576 155008 177152 310016 354304 620032 708608 1240064 2480128 4960256