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83496 = 2337271
BaseRepresentation
bin10100011000101000
311020112110
4110120220
510132441
61442320
7465300
oct243050
9136473
1083496
1157806
12403a0
132c00a
1422600
1519b16
hex14628

83496 has 48 divisors (see below), whose sum is σ = 246240. Its totient is φ = 23520.

The previous prime is 83477. The next prime is 83497. The reversal of 83496 is 69438.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

283496 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 83496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120).

83496 is an abundant number, since it is smaller than the sum of its proper divisors (162744).

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

83496 is a wasteful number, since it uses less digits than its factorization.

83496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 83496 is about 288.9567441677. The cubic root of 83496 is about 43.7074252490.

The spelling of 83496 in words is "eighty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 71 84 98 142 147 168 196 213 284 294 392 426 497 568 588 852 994 1176 1491 1704 1988 2982 3479 3976 5964 6958 10437 11928 13916 20874 27832 41748 83496