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72686256 = 2432365839
BaseRepresentation
bin1000101010100…
…01101010110000
312001202211210120
410111101222300
5122101430011
611113530240
71541552166
oct425215260
9161684716
1072686256
1138036295
1220413980
131209c426
149921236
1565aba06
hex4551ab0

72686256 has 40 divisors (see below), whose sum is σ = 195939840. Its totient is φ = 23174976.

The previous prime is 72686239. The next prime is 72686261. The reversal of 72686256 is 65268627.

It is a super-2 number, since 2×726862562 = 10566583622595072, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 31816 + ... + 34023.

It is an arithmetic number, because the mean of its divisors is an integer number (4898496).

Almost surely, 272686256 is an apocalyptic number.

It is an amenable number.

72686256 is an abundant number, since it is smaller than the sum of its proper divisors (123253584).

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

72686256 is a wasteful number, since it uses less digits than its factorization.

72686256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65873 (or 65867 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 72686256 is about 8525.6234962611. The cubic root of 72686256 is about 417.3343189035.

The spelling of 72686256 in words is "seventy-two million, six hundred eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 65839 131678 197517 263356 395034 526712 790068 1053424 1514297 1580136 3028594 3160272 4542891 6057188 9085782 12114376 18171564 24228752 36343128 72686256