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83472168 = 233131914081
BaseRepresentation
bin1001111100110…
…10111100101000
312211001211021210
410332122330220
5132332102133
612141033120
72032334043
oct476327450
9184054253
1083472168
114313296a
1223b557a0
13143a7920
14b12bc5a
1574dc763
hex4f9af28

83472168 has 64 divisors (see below), whose sum is σ = 236577600. Its totient is φ = 24330240.

The previous prime is 83472163. The next prime is 83472199. The reversal of 83472168 is 86127438.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (83472161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113 + ... + 12968.

It is an arithmetic number, because the mean of its divisors is an integer number (3696525).

Almost surely, 283472168 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 83472168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118288800).

83472168 is an abundant number, since it is smaller than the sum of its proper divisors (153105432).

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

83472168 is a wasteful number, since it uses less digits than its factorization.

83472168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14118 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 83472168 is about 9136.3104150417. The cubic root of 83472168 is about 437.0326642914.

The spelling of 83472168 in words is "eighty-three million, four hundred seventy-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 14081 28162 42243 56324 84486 112648 168972 183053 267539 337944 366106 535078 549159 732212 802617 1070156 1098318 1464424 1605234 2140312 2196636 3210468 3478007 4393272 6420936 6956014 10434021 13912028 20868042 27824056 41736084 83472168