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51378912 = 25321313723
BaseRepresentation
bin1100001111111…
…1101011100000
310120200022121200
43003333223200
5101123111122
65033121200
71162466514
oct303775340
9116608550
1051378912
1127002812
1215259200
13a84bc30
146b76144
15479d5ac
hex30ffae0

51378912 has 72 divisors (see below), whose sum is σ = 157359384. Its totient is φ = 15807744.

The previous prime is 51378881. The next prime is 51378919. The reversal of 51378912 is 21987315.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51378919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3118 + ... + 10605.

It is an arithmetic number, because the mean of its divisors is an integer number (2185547).

Almost surely, 251378912 is an apocalyptic number.

51378912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

51378912 is an abundant number, since it is smaller than the sum of its proper divisors (105980472).

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

51378912 is a wasteful number, since it uses less digits than its factorization.

51378912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752 (or 13741 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 51378912 is about 7167.9084815586. The cubic root of 51378912 is about 371.7591225901.

The spelling of 51378912 in words is "fifty-one million, three hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 13723 27446 41169 54892 82338 109784 123507 164676 178399 219568 247014 329352 356798 439136 494028 535197 658704 713596 988056 1070394 1317408 1427192 1605591 1976112 2140788 2854384 3211182 3952224 4281576 5708768 6422364 8563152 12844728 17126304 25689456 51378912