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12478944 = 253433023
BaseRepresentation
bin101111100110…
…100111100000
3212110222220010
4233212213200
511143311234
61123244520
7211032522
oct57464740
925428803
1012478944
117053685
124219740
13277bcba
14192ba12
1511676e9
hexbe69e0

12478944 has 48 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 4061568.

The previous prime is 12478943. The next prime is 12478979. The reversal of 12478944 is 44987421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12478943) 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 7 ways as a sum of consecutive naturals, for example, 2617 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (698544).

Almost surely, 212478944 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 12478944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

12478944 is an abundant number, since it is smaller than the sum of its proper divisors (21051168).

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

12478944 is a wasteful number, since it uses less digits than its factorization.

12478944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3071 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 12478944 is about 3532.5548828008. The cubic root of 12478944 is about 231.9490573840.

The spelling of 12478944 in words is "twelve million, four hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3023 4128 6046 9069 12092 18138 24184 36276 48368 72552 96736 129989 145104 259978 290208 389967 519956 779934 1039912 1559868 2079824 3119736 4159648 6239472 12478944