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96982592 = 267713049
BaseRepresentation
bin1011100011111…
…01011001000000
320202111020002212
411301331121000
5144311420332
613342401252
72255224040
oct561753100
9222436085
1096982592
114a820503
1228590228
1317128265
14cc47720
1587aa8b2
hex5c7d640

96982592 has 56 divisors (see below), whose sum is σ = 223113600. Its totient is φ = 40965120.

The previous prime is 96982591. The next prime is 96982597. The reversal of 96982592 is 29528969.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 96982592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96982591) 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 7 ways as a sum of consecutive naturals, for example, 30284 + ... + 33332.

Almost surely, 296982592 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 96982592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111556800).

96982592 is an abundant number, since it is smaller than the sum of its proper divisors (126131008).

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

96982592 is a wasteful number, since it uses less digits than its factorization.

96982592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3129 counting only the distinct ones).

The product of its digits is 699840, while the sum is 50.

The square root of 96982592 is about 9847.9740048398. The cubic root of 96982592 is about 459.4426014756.

The spelling of 96982592 in words is "ninety-six million, nine hundred eighty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3049 3976 4544 6098 7952 12196 15904 21343 24392 31808 42686 48784 85372 97568 170744 195136 216479 341488 432958 682976 865916 1365952 1515353 1731832 3030706 3463664 6061412 6927328 12122824 13854656 24245648 48491296 96982592