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83905416 = 23337211263
BaseRepresentation
bin1010000000001…
…00101110001000
312211212211121000
411000010232020
5132434433131
612154215000
72036120130
oct500045610
9184784530
1083905416
11433a9421
1224124460
13144c9b9a
14b201ac0
157575ce6
hex5004b88

83905416 has 128 divisors (see below), whose sum is σ = 268646400. Its totient is φ = 23768640.

The previous prime is 83905363. The next prime is 83905453. The reversal of 83905416 is 61450938.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318901 + ... + 319163.

It is an arithmetic number, because the mean of its divisors is an integer number (2098800).

Almost surely, 283905416 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 83905416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134323200).

83905416 is an abundant number, since it is smaller than the sum of its proper divisors (184740984).

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

83905416 is a wasteful number, since it uses less digits than its factorization.

83905416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83905416 is about 9159.9899563264. The cubic root of 83905416 is about 437.7874743019.

The spelling of 83905416 in words is "eighty-three million, nine hundred five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 211 216 252 263 378 422 504 526 633 756 789 844 1052 1266 1477 1512 1578 1688 1841 1899 2104 2367 2532 2954 3156 3682 3798 4431 4734 5064 5523 5697 5908 6312 7101 7364 7596 8862 9468 11046 11394 11816 13293 14202 14728 15192 16569 17724 18936 22092 22788 26586 28404 33138 35448 39879 44184 45576 49707 53172 55493 56808 66276 79758 99414 106344 110986 132552 159516 166479 198828 221972 319032 332958 388451 397656 443944 499437 665916 776902 998874 1165353 1331832 1498311 1553804 1997748 2330706 2996622 3107608 3496059 3995496 4661412 5993244 6992118 9322824 10488177 11986488 13984236 20976354 27968472 41952708 83905416