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12275856 = 2432163523
BaseRepresentation
bin101110110101…
…000010010000
3212002200022100
4232311002100
511120311411
61115040400
7206225445
oct56650220
925080270
1012275856
116a2503a
124140100
13270a728
1418b79cc
151127456
hexbb5090

12275856 has 60 divisors (see below), whose sum is σ = 34632208. Its totient is φ = 4059072.

The previous prime is 12275839. The next prime is 12275867. The reversal of 12275856 is 65857221.

It is a happy number.

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

Its product of digits (33600) is a multiple of the sum of its prime factors (700).

It is a self number, because there is not a number n which added to its sum of digits gives 12275856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23211 + ... + 23733.

Almost surely, 212275856 is an apocalyptic number.

12275856 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 12275856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316104).

12275856 is an abundant number, since it is smaller than the sum of its proper divisors (22356352).

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

12275856 is a wasteful number, since it uses less digits than its factorization.

12275856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 691 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 12275856 is about 3503.6917672649. The cubic root of 12275856 is about 230.6838876217.

It can be divided in two parts, 12275 and 856, that added together give a palindrome (13131).

The spelling of 12275856 in words is "twelve million, two hundred seventy-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 523 652 978 1046 1304 1467 1569 1956 2092 2608 2934 3138 3912 4184 4707 5868 6276 7824 8368 9414 11736 12552 18828 23472 25104 37656 75312 85249 170498 255747 340996 511494 681992 767241 1022988 1363984 1534482 2045976 3068964 4091952 6137928 12275856