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83994416 = 24111767419
BaseRepresentation
bin1010000000110…
…10011100110000
312212001100200022
411000122130300
5133000310131
612200143012
72036640452
oct500323460
9185040608
1083994416
114345a280
1224167a68
131452b54c
14b2262d2
15759237b
hex501a730

83994416 has 80 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 35312640.

The previous prime is 83994409. The next prime is 83994431. The reversal of 83994416 is 61449938.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200255 + ... + 200673.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 283994416 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 83994416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

83994416 is an abundant number, since it is smaller than the sum of its proper divisors (107243344).

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

83994416 is a wasteful number, since it uses less digits than its factorization.

83994416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 83994416 is about 9164.8467526740. The cubic root of 83994416 is about 437.9422093155.

It can be divided in two parts, 83 and 994416, that added together give a palindrome (994499).

The spelling of 83994416 in words is "eighty-three million, nine hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 67 68 88 134 136 176 187 268 272 374 419 536 737 748 838 1072 1139 1474 1496 1676 2278 2948 2992 3352 4556 4609 5896 6704 7123 9112 9218 11792 12529 14246 18224 18436 25058 28073 28492 36872 50116 56146 56984 73744 78353 100232 112292 113968 156706 200464 224584 308803 313412 449168 477241 617606 626824 954482 1235212 1253648 1908964 2470424 3817928 4940848 5249651 7635856 10499302 20998604 41997208 83994416