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51366432 = 2531379521
BaseRepresentation
bin1100001111110…
…0101000100000
310120122200111110
43003330220200
5101122211212
65032543320
71162415235
oct303745040
9116580443
1051366432
1126aa43a7
1215251b40
13a846350
146b7178c
154799a3c
hex30fca20

51366432 has 96 divisors (see below), whose sum is σ = 147329280. Its totient is φ = 15575040.

The previous prime is 51366379. The next prime is 51366433. The reversal of 51366432 is 23466315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 51366432.

It is not an unprimeable number, because it can be changed into a prime (51366433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98332 + ... + 98852.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 251366432 is an apocalyptic number.

51366432 is a gapful number since it is divisible by the number (52) 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 51366432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73664640).

51366432 is an abundant number, since it is smaller than the sum of its proper divisors (95962848).

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

51366432 is a wasteful number, since it uses less digits than its factorization.

51366432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 51366432 is about 7167.0378818589. The cubic root of 51366432 is about 371.7290199054.

The spelling of 51366432 in words is "fifty-one million, three hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 416 474 521 624 632 948 1027 1042 1248 1264 1563 1896 2054 2084 2528 3081 3126 3792 4108 4168 6162 6252 6773 7584 8216 8336 12324 12504 13546 16432 16672 20319 24648 25008 27092 32864 40638 41159 49296 50016 54184 81276 82318 98592 108368 123477 162552 164636 216736 246954 325104 329272 493908 535067 650208 658544 987816 1070134 1317088 1605201 1975632 2140268 3210402 3951264 4280536 6420804 8561072 12841608 17122144 25683216 51366432