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83388492 = 2232111911083
BaseRepresentation
bin1001111100001…
…10100001001100
312210220120111200
410332012201030
5132321412432
612135145500
72031535065
oct476064114
9183816450
1083388492
1143086010
1223b15290
1314378805
14b10956c
1574c2a7c
hex4f8684c

83388492 has 72 divisors (see below), whose sum is σ = 242074560. Its totient is φ = 23937120.

The previous prime is 83388421. The next prime is 83388493. The reversal of 83388492 is 29488338.

83388492 is a `hidden beast` number, since 83 + 3 + 88 + 492 = 666.

It is not an unprimeable number, because it can be changed into a prime (83388493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983 + ... + 13065.

Almost surely, 283388492 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 83388492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121037280).

83388492 is an abundant number, since it is smaller than the sum of its proper divisors (158686068).

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

83388492 is a wasteful number, since it uses less digits than its factorization.

83388492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123 (or 11118 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 83388492 is about 9131.7299565854. The cubic root of 83388492 is about 436.8865821805.

Subtracting from 83388492 its product of digits (331776), we obtain a triangular number (83056716 = T12888).

The spelling of 83388492 in words is "eighty-three million, three hundred eighty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 11083 22166 33249 44332 66498 99747 121913 132996 199494 210577 243826 365739 398988 421154 487652 631731 731478 842308 1097217 1263462 1462956 1895193 2194434 2316347 2526924 3790386 4388868 4632694 6949041 7580772 9265388 13898082 20847123 27796164 41694246 83388492