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51302016 = 273244533
BaseRepresentation
bin1100001110110…
…0111010000000
310120112102010200
43003230322000
5101113131031
65031325200
71162026363
oct303547200
9116472120
1051302016
1126a5aa67
1215220800
13a822c2c
146b560da
1547858e6
hex30ece80

51302016 has 48 divisors (see below), whose sum is σ = 147630210. Its totient is φ = 17100288.

The previous prime is 51302011. The next prime is 51302023. The reversal of 51302016 is 61020315.

It can be written as a sum of positive squares in only one way, i.e., 42302016 + 9000000 = 6504^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 51302016.

It is not an unprimeable number, because it can be changed into a prime (51302011) 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 5 ways as a sum of consecutive naturals, for example, 21115 + ... + 23418.

Almost surely, 251302016 is an apocalyptic number.

It is an amenable number.

51302016 is an abundant number, since it is smaller than the sum of its proper divisors (96328194).

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

51302016 is a wasteful number, since it uses less digits than its factorization.

51302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44553 (or 44538 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51302016 is about 7162.5425653185. The cubic root of 51302016 is about 371.5735661580.

The spelling of 51302016 in words is "fifty-one million, three hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 44533 89066 133599 178132 267198 356264 400797 534396 712528 801594 1068792 1425056 1603188 2137584 2850112 3206376 4275168 5700224 6412752 8550336 12825504 17100672 25651008 51302016