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83335938 = 23717196143
BaseRepresentation
bin1001111011110…
…01101100000010
312210210220102020
410331321230002
5132313222223
612134102310
72031225630
oct475715402
9183726366
1083335938
114304a584
1223aaa996
131435a90a
14b0d4350
1574b21e3
hex4f79b02

83335938 has 64 divisors (see below), whose sum is σ = 212336640. Its totient is φ = 21226752.

The previous prime is 83335933. The next prime is 83335949. The reversal of 83335938 is 83953338.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 83335938.

It is not an unprimeable number, because it can be changed into a prime (83335933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10495 + ... + 16637.

It is an arithmetic number, because the mean of its divisors is an integer number (3317760).

Almost surely, 283335938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83335938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106168320).

83335938 is an abundant number, since it is smaller than the sum of its proper divisors (129000702).

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

83335938 is a wasteful number, since it uses less digits than its factorization.

83335938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191.

The product of its digits is 233280, while the sum is 42.

The square root of 83335938 is about 9128.8519541068. The cubic root of 83335938 is about 436.7947830926.

The spelling of 83335938 in words is "eighty-three million, three hundred thirty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2261 4522 6143 6783 12286 13566 18429 36858 43001 86002 104431 116717 129003 208862 233434 258006 313293 350151 626586 700302 731017 817019 1462034 1634038 1984189 2193051 2451057 3968378 4386102 4902114 5952567 11905134 13889323 27778646 41667969 83335938