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51338976 = 25313311327
BaseRepresentation
bin1100001111010…
…1111011100000
310120121021211120
43003311323200
5101120321401
65032212240
71162242213
oct303657340
9116537746
1051338976
1126a85807
121523a080
13a8369c0
146b6577a
154791836
hex30f5ee0

51338976 has 96 divisors (see below), whose sum is σ = 149925888. Its totient is φ = 15275520.

The previous prime is 51338971. The next prime is 51338977. The reversal of 51338976 is 67983315.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51338971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38025 + ... + 39351.

It is an arithmetic number, because the mean of its divisors is an integer number (1561728).

Almost surely, 251338976 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 51338976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74962944).

51338976 is an abundant number, since it is smaller than the sum of its proper divisors (98586912).

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

51338976 is a wasteful number, since it uses less digits than its factorization.

51338976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1376 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 51338976 is about 7165.1221901654. The cubic root of 51338976 is about 371.6627768322.

The spelling of 51338976 in words is "fifty-one million, three hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1327 1488 1612 2418 2654 2976 3224 3981 4836 5308 6448 7962 9672 10616 12896 15924 17251 19344 21232 31848 34502 38688 41137 42464 51753 63696 69004 82274 103506 123411 127392 138008 164548 207012 246822 276016 329096 414024 493644 534781 552032 658192 828048 987288 1069562 1316384 1604343 1656096 1974576 2139124 3208686 3949152 4278248 6417372 8556496 12834744 17112992 25669488 51338976