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72238308 = 22323318443
BaseRepresentation
bin1000100111001…
…00010011100100
312000221002022220
410103210103210
5121443111213
611100152340
71535005212
oct423442344
9160832286
1072238308
113785a78a
12202386b0
1311c7357c
149845cb2
15651de23
hex44e44e4

72238308 has 48 divisors (see below), whose sum is σ = 181579776. Its totient is φ = 22286880.

The previous prime is 72238289. The next prime is 72238337. The reversal of 72238308 is 80383227.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 4335 + ... + 12777.

It is an arithmetic number, because the mean of its divisors is an integer number (3782912).

Almost surely, 272238308 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 72238308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90789888).

72238308 is an abundant number, since it is smaller than the sum of its proper divisors (109341468).

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

72238308 is a wasteful number, since it uses less digits than its factorization.

72238308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 72238308 is about 8499.3122074671. The cubic root of 72238308 is about 416.4752412063.

The spelling of 72238308 in words is "seventy-two million, two hundred thirty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 8443 8556 16886 25329 33772 50658 101316 194189 261733 388378 523466 582567 776756 785199 1046932 1165134 1570398 2330268 3140796 6019859 12039718 18059577 24079436 36119154 72238308