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12292464 = 243256093
BaseRepresentation
bin101110111001…
…000101110000
3212010112002110
4232321011300
511121324324
61115245320
7206325042
oct56710560
925115073
1012292464
116a36568
124149840
132715162
1418bda92
15112c329
hexbb9170

12292464 has 20 divisors (see below), whose sum is σ = 31755656. Its totient is φ = 4097472.

The previous prime is 12292463. The next prime is 12292471. The reversal of 12292464 is 46429221.

12292464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122924642 = 302209342382592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12292463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127999 + ... + 128094.

Almost surely, 212292464 is an apocalyptic number.

It is an amenable number.

12292464 is an abundant number, since it is smaller than the sum of its proper divisors (19463192).

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

12292464 is a wasteful number, since it uses less digits than its factorization.

12292464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256104 (or 256098 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 12292464 is about 3506.0610376889. The cubic root of 12292464 is about 230.7878714515.

The spelling of 12292464 in words is "twelve million, two hundred ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 256093 512186 768279 1024372 1536558 2048744 3073116 4097488 6146232 12292464