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12495312 = 2432194567
BaseRepresentation
bin101111101010…
…100111010000
3212111211100100
4233222213100
511144322222
61123452400
7211131324
oct57524720
925454310
1012495312
117064a05
124227100
13278659b
141933984
15116c4ac
hexbea9d0

12495312 has 60 divisors (see below), whose sum is σ = 36818080. Its totient is φ = 3945024.

The previous prime is 12495311. The next prime is 12495313. The reversal of 12495312 is 21359421.

12495312 is a `hidden beast` number, since 124 + 9 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12495311) and next prime (12495313).

It is a super-2 number, since 2×124953122 = 312265643954688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12495311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453 + ... + 5019.

Almost surely, 212495312 is an apocalyptic number.

12495312 is a gapful number since it is divisible by the number (12) 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 12495312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18409040).

12495312 is an abundant number, since it is smaller than the sum of its proper divisors (24322768).

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

12495312 is a wasteful number, since it uses less digits than its factorization.

12495312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4591 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12495312 is about 3534.8708604417. The cubic root of 12495312 is about 232.0504250283.

It can be divided in two parts, 1249 and 5312, that added together give a 8-th power (6561 = 38).

The spelling of 12495312 in words is "twelve million, four hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4567 9134 13701 18268 27402 36536 41103 54804 73072 82206 86773 109608 164412 173546 219216 260319 328824 347092 520638 657648 694184 780957 1041276 1388368 1561914 2082552 3123828 4165104 6247656 12495312