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51333768 = 233231109211
BaseRepresentation
bin1100001111010…
…0101010001000
310120121000200200
43003310222020
5101120140033
65032132200
71162221063
oct303645210
9116530620
1051333768
1126a81902
1215237060
13a834515
146b638da
154790013
hex30f4a88

51333768 has 96 divisors (see below), whose sum is σ = 145516800. Its totient is φ = 16329600.

The previous prime is 51333739. The next prime is 51333803. The reversal of 51333768 is 86733315.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 243183 + ... + 243393.

It is an arithmetic number, because the mean of its divisors is an integer number (1515800).

Almost surely, 251333768 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 51333768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72758400).

51333768 is an abundant number, since it is smaller than the sum of its proper divisors (94183032).

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

51333768 is a wasteful number, since it uses less digits than its factorization.

51333768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 356 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 51333768 is about 7164.7587537893. The cubic root of 51333768 is about 371.6502088293.

The spelling of 51333768 in words is "fifty-one million, three hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 109 124 186 211 218 248 279 327 372 422 436 558 633 654 744 844 872 981 1116 1266 1308 1688 1899 1962 2232 2532 2616 3379 3798 3924 5064 6541 6758 7596 7848 10137 13082 13516 15192 19623 20274 22999 26164 27032 30411 39246 40548 45998 52328 58869 60822 68997 78492 81096 91996 117738 121644 137994 156984 183992 206991 235476 243288 275988 413982 470952 551976 712969 827964 1425938 1655928 2138907 2851876 4277814 5703752 6416721 8555628 12833442 17111256 25666884 51333768