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83929392 = 2433238447
BaseRepresentation
bin1010000000010…
…10100100110000
312211221001111000
411000022210300
5132441220032
612154522000
72036250051
oct500124460
9184831430
1083929392
1143415438
1224136300
1314507a81
14b20a728
15757ce7c
hex500a930

83929392 has 80 divisors (see below), whose sum is σ = 251412480. Its totient is φ = 26756928.

The previous prime is 83929379. The next prime is 83929397. The reversal of 83929392 is 29392938.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83929397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5713 + ... + 14159.

It is an arithmetic number, because the mean of its divisors is an integer number (3142656).

Almost surely, 283929392 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 83929392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706240).

83929392 is an abundant number, since it is smaller than the sum of its proper divisors (167483088).

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

83929392 is a wasteful number, since it uses less digits than its factorization.

83929392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8475 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 83929392 is about 9161.2985979063. The cubic root of 83929392 is about 437.8291696352.

The spelling of 83929392 in words is "eighty-three million, nine hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 8447 9936 16894 25341 33788 50682 67576 76023 101364 135152 152046 194281 202728 228069 304092 388562 405456 456138 582843 608184 777124 912276 1165686 1216368 1554248 1748529 1824552 2331372 3108496 3497058 3649104 4662744 5245587 6994116 9325488 10491174 13988232 20982348 27976464 41964696 83929392