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83193996 = 22361891277
BaseRepresentation
bin1001111010101…
…11000010001100
312210112200201010
410331113002030
5132244201441
612131045220
72030065044
oct475270214
9183480633
1083193996
1142a62976
1223a40810
131430b122
14b098724
157485116
hex4f5708c

83193996 has 48 divisors (see below), whose sum is σ = 199674720. Its totient is φ = 26949120.

The previous prime is 83193983. The next prime is 83193997. The reversal of 83193996 is 69939138.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83193997) 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 15 ways as a sum of consecutive naturals, for example, 64510 + ... + 65786.

It is an arithmetic number, because the mean of its divisors is an integer number (4159890).

Almost surely, 283193996 is an apocalyptic number.

It is an amenable number.

83193996 is an abundant number, since it is smaller than the sum of its proper divisors (116480724).

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

83193996 is a wasteful number, since it uses less digits than its factorization.

83193996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1432 counting only the distinct ones).

The product of its digits is 314928, while the sum is 48.

The square root of 83193996 is about 9121.0742788336. The cubic root of 83193996 is about 436.5466518134.

The spelling of 83193996 in words is "eighty-three million, one hundred ninety-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 61 89 122 178 183 244 267 356 366 534 732 1068 1277 2554 3831 5108 5429 7662 10858 15324 16287 21716 32574 65148 77897 113653 155794 227306 233691 311588 340959 454612 467382 681918 934764 1363836 6932833 13865666 20798499 27731332 41596998 83193996