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12256464 = 24311139167
BaseRepresentation
bin101110110000…
…010011010000
3212001200201010
4232300103100
511114201324
61114410520
7206115063
oct56602320
925050633
1012256464
116a11510
124130a40
13270195c
1418b08da
151121829
hexbb04d0

12256464 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3665280.

The previous prime is 12256427. The next prime is 12256469. The reversal of 12256464 is 46465221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12256469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73309 + ... + 73475.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 212256464 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 12256464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12256464 is an abundant number, since it is smaller than the sum of its proper divisors (22741296).

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

12256464 is a wasteful number, since it uses less digits than its factorization.

12256464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 12256464 is about 3500.9233067864. The cubic root of 12256464 is about 230.5623542218.

It can be divided in two parts, 12256 and 464, that added together give a triangular number (12720 = T159).

The spelling of 12256464 in words is "twelve million, two hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 139 167 176 264 278 334 417 501 528 556 668 834 1002 1112 1336 1529 1668 1837 2004 2224 2672 3058 3336 3674 4008 4587 5511 6116 6672 7348 8016 9174 11022 12232 14696 18348 22044 23213 24464 29392 36696 44088 46426 69639 73392 88176 92852 139278 185704 255343 278556 371408 510686 557112 766029 1021372 1114224 1532058 2042744 3064116 4085488 6128232 12256464