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83942874 = 23219713457
BaseRepresentation
bin1010000000011…
…01110111011010
312211221201222100
411000031313122
5132442132444
612155104230
72036334261
oct500156732
9184851870
1083942874
1143424584
1224142076
1314510c52
14b2115d8
157581e69
hex500ddda

83942874 has 48 divisors (see below), whose sum is σ = 194201280. Its totient is φ = 26127360.

The previous prime is 83942869. The next prime is 83942897. The reversal of 83942874 is 47824938.

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 Curzon 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 23 ways as a sum of consecutive naturals, for example, 22554 + ... + 26010.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 283942874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83942874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97100640).

83942874 is an abundant number, since it is smaller than the sum of its proper divisors (110258406).

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

83942874 is a wasteful number, since it uses less digits than its factorization.

83942874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3552 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83942874 is about 9162.0343810750. The cubic root of 83942874 is about 437.8526119466.

The spelling of 83942874 in words is "eighty-three million, nine hundred forty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 1278 1349 2698 3457 4047 6914 8094 10371 12141 20742 24282 31113 62226 65683 131366 197049 245447 394098 490894 591147 736341 1182294 1472682 2209023 4418046 4663493 9326986 13990479 27980958 41971437 83942874