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10427856 = 243534099
BaseRepresentation
bin100111110001…
…110111010000
3201121210022220
4213301313100
510132142411
61011301040
7154430625
oct47616720
921553286
1010427856
11598266a
1235aa780
13221153a
14155634c
15daeb06
hex9f1dd0

10427856 has 40 divisors (see below), whose sum is σ = 27453600. Its totient is φ = 3409536.

The previous prime is 10427839. The next prime is 10427861. The reversal of 10427856 is 65872401.

It is a congruent number.

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, 495 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (686340).

Almost surely, 210427856 is an apocalyptic number.

10427856 is a gapful number since it is divisible by the number (16) 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 10427856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726800).

10427856 is an abundant number, since it is smaller than the sum of its proper divisors (17025744).

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

10427856 is a wasteful number, since it uses less digits than its factorization.

10427856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10427856 is about 3229.2191006496. The cubic root of 10427856 is about 218.4732864653.

The spelling of 10427856 in words is "ten million, four hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 4099 8198 12297 16396 24594 32792 49188 65584 98376 196752 217247 434494 651741 868988 1303482 1737976 2606964 3475952 5213928 10427856