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9956256 = 253372803
BaseRepresentation
bin100101111110…
…101110100000
3200201211102020
4211332232200
510022100011
6553221440
7150424662
oct45765640
920654366
109956256
115690312
123401880
1320a799b
141472532
15d1a006
hex97eba0

9956256 has 48 divisors (see below), whose sum is σ = 26851104. Its totient is φ = 3227904.

The previous prime is 9956249. The next prime is 9956279. The reversal of 9956256 is 6526599.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 2151 + ... + 4953.

It is an arithmetic number, because the mean of its divisors is an integer number (559398).

Almost surely, 29956256 is an apocalyptic number.

9956256 is a gapful number since it is divisible by the number (96) 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 9956256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13425552).

9956256 is an abundant number, since it is smaller than the sum of its proper divisors (16894848).

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

9956256 is a wasteful number, since it uses less digits than its factorization.

9956256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2845 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 9956256 is about 3155.3535459596. The cubic root of 9956256 is about 215.1288645174.

The spelling of 9956256 in words is "nine million, nine hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 2803 3552 5606 8409 11212 16818 22424 33636 44848 67272 89696 103711 134544 207422 269088 311133 414844 622266 829688 1244532 1659376 2489064 3318752 4978128 9956256