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83428596 = 22335913093
BaseRepresentation
bin1001111100100…
…00010011110100
312210222121112000
410332100103310
5132324203341
612140055300
72032063026
oct476202364
9183877460
1083428596
1143103159
1223b34530
1314390b44
14b11a016
1574ce8b6
hex4f904f4

83428596 has 48 divisors (see below), whose sum is σ = 219979200. Its totient is φ = 27336096.

The previous prime is 83428589. The next prime is 83428627. The reversal of 83428596 is 69582438.

83428596 is a `hidden beast` number, since 8 + 34 + 28 + 596 = 666.

It is a congruent number.

It is an unprimeable number.

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, 175 + ... + 12918.

It is an arithmetic number, because the mean of its divisors is an integer number (4582900).

Almost surely, 283428596 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 83428596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109989600).

83428596 is an abundant number, since it is smaller than the sum of its proper divisors (136550604).

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

83428596 is a wasteful number, since it uses less digits than its factorization.

83428596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165 (or 13157 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 83428596 is about 9133.9255525760. The cubic root of 83428596 is about 436.9566081959.

The spelling of 83428596 in words is "eighty-three million, four hundred twenty-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 13093 26186 39279 52372 78558 117837 157116 235674 353511 471348 707022 772487 1414044 1544974 2317461 3089948 4634922 6952383 9269844 13904766 20857149 27809532 41714298 83428596