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51795072 = 273372141
BaseRepresentation
bin1100010110010…
…1010010000000
310121110110111000
43011211102000
5101224420242
65050052000
71166152020
oct305452200
9117413430
1051795072
112726744a
121541a000
13a966494
146c43a80
154831a4c
hex3165480

51795072 has 128 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 14791680.

The previous prime is 51795067. The next prime is 51795101. The reversal of 51795072 is 27059715.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23122 + ... + 25262.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 251795072 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 51795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

51795072 is an abundant number, since it is smaller than the sum of its proper divisors (122992128).

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

51795072 is a wasteful number, since it uses less digits than its factorization.

51795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 51795072 is about 7196.8793237069. The cubic root of 51795072 is about 372.7601521876.

The spelling of 51795072 in words is "fifty-one million, seven hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2141 2688 3024 3456 4032 4282 6048 6423 8064 8564 12096 12846 14987 17128 19269 24192 25692 29974 34256 38538 44961 51384 57807 59948 68512 77076 89922 102768 115614 119896 134883 137024 154152 179844 205536 231228 239792 269766 274048 308304 359688 404649 411072 462456 479584 539532 616608 719376 809298 822144 924912 959168 1079064 1233216 1438752 1618596 1849824 1918336 2158128 2466432 2877504 3237192 3699648 4316256 5755008 6474384 7399296 8632512 12948768 17265024 25897536 51795072