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83956032 = 2632145757
BaseRepresentation
bin1010000000100…
…01000101000000
312211222102000200
411000101011000
5132443043112
612155245200
72036420526
oct500210500
9184872020
1083956032
1143433456
1224149800
1314516c34
14b216316
157585cdc
hex5011140

83956032 has 42 divisors (see below), whose sum is σ = 240646458. Its totient is φ = 27985152.

The previous prime is 83956027. The next prime is 83956039. The reversal of 83956032 is 23065938.

It can be written as a sum of positive squares in only one way, i.e., 82737216 + 1218816 = 9096^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83956039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72303 + ... + 73454.

Almost surely, 283956032 is an apocalyptic number.

It is an amenable number.

83956032 is an abundant number, since it is smaller than the sum of its proper divisors (156690426).

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

83956032 is a wasteful number, since it uses less digits than its factorization.

83956032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145775 (or 145762 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 83956032 is about 9162.7524248994. The cubic root of 83956032 is about 437.8754884712.

The spelling of 83956032 in words is "eighty-three million, nine hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 145757 291514 437271 583028 874542 1166056 1311813 1749084 2332112 2623626 3498168 4664224 5247252 6996336 9328448 10494504 13992672 20989008 27985344 41978016 83956032