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73856268 = 22321925683
BaseRepresentation
bin1000110011011…
…11010100001100
312010222021202100
410121233110030
5122401400033
611154555100
71554524253
oct431572414
9163867670
1073856268
1138765342
1220898a90
13123bbb45
149b4779a
15673d513
hex466f50c

73856268 has 54 divisors (see below), whose sum is σ = 197069964. Its totient is φ = 23318928.

The previous prime is 73856261. The next prime is 73856281. The reversal of 73856268 is 86265837.

73856268 is a `hidden beast` number, since 7 + 385 + 6 + 268 = 666.

It is not an unprimeable number, because it can be changed into a prime (73856261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10155 + ... + 15837.

Almost surely, 273856268 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 73856268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98534982).

73856268 is an abundant number, since it is smaller than the sum of its proper divisors (123213696).

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

73856268 is a wasteful number, since it uses less digits than its factorization.

73856268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5707 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 73856268 is about 8593.9669536251. The cubic root of 73856268 is about 419.5616515041.

The spelling of 73856268 in words is "seventy-three million, eight hundred fifty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 5683 6498 11366 12996 17049 22732 34098 51147 68196 102294 107977 204588 215954 323931 431908 647862 971793 1295724 1943586 2051563 3887172 4103126 6154689 8206252 12309378 18464067 24618756 36928134 73856268