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12287952 = 243285333
BaseRepresentation
bin101110110111…
…111111010000
3212010021220100
4232313333100
511121203302
61115212400
7206305635
oct56677720
925107810
1012287952
116a33136
124147100
1327130a1
1418bc18c
15112ad1c
hexbb7fd0

12287952 has 30 divisors (see below), whose sum is σ = 34389602. Its totient is φ = 4095936.

The previous prime is 12287939. The next prime is 12287983. The reversal of 12287952 is 25978221.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 2702736 = 3096^2 + 1644^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42523 + ... + 42810.

Almost surely, 212287952 is an apocalyptic number.

12287952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12287952 is an abundant number, since it is smaller than the sum of its proper divisors (22101650).

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

12287952 is a wasteful number, since it uses less digits than its factorization.

12287952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85347 (or 85338 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12287952 is about 3505.4175214944. The cubic root of 12287952 is about 230.7596307801.

It can be divided in two parts, 1228 and 7952, that added together give a triangular number (9180 = T135).

The spelling of 12287952 in words is "twelve million, two hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85333 170666 255999 341332 511998 682664 767997 1023996 1365328 1535994 2047992 3071988 4095984 6143976 12287952