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12082464 = 253241953
BaseRepresentation
bin101110000101…
…110100100000
3211201212000200
4232011310200
511043114324
61110545200
7204461562
oct56056440
924655020
1012082464
116902809
124068200
1326706b4
141867332
1510d9ec9
hexb85d20

12082464 has 36 divisors (see below), whose sum is σ = 34360326. Its totient is φ = 4027392.

The previous prime is 12082451. The next prime is 12082471. The reversal of 12082464 is 46428021.

12082464 is a `hidden beast` number, since 120 + 82 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10890000 + 1192464 = 3300^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×120824642 = 291971872622592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 20689 + ... + 21264.

Almost surely, 212082464 is an apocalyptic number.

It is an amenable number.

12082464 is an abundant number, since it is smaller than the sum of its proper divisors (22277862).

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

12082464 is a wasteful number, since it uses less digits than its factorization.

12082464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41969 (or 41958 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12082464 is about 3475.9838894909. The cubic root of 12082464 is about 229.4660835294.

The spelling of 12082464 in words is "twelve million, eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41953 83906 125859 167812 251718 335624 377577 503436 671248 755154 1006872 1342496 1510308 2013744 3020616 4027488 6041232 12082464