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83992005 = 335677919
BaseRepresentation
bin1010000000110…
…01110111000101
312212001020101000
411000121313011
5133000221010
612200123513
72036630436
oct500316705
9185036330
1083992005
1143458489
1224166599
131452a416
14b22548d
1575917c0
hex5019dc5

83992005 has 32 divisors (see below), whose sum is σ = 149702400. Its totient is φ = 44680896.

The previous prime is 83991997. The next prime is 83992031. The reversal of 83992005 is 50029938.

It is not a de Polignac number, because 83992005 - 23 = 83991997 is a prime.

It is a super-3 number, since 3×839920053 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 90936 + ... + 91854.

It is an arithmetic number, because the mean of its divisors is an integer number (4678200).

Almost surely, 283992005 is an apocalyptic number.

It is an amenable number.

83992005 is a deficient number, since it is larger than the sum of its proper divisors (65710395).

83992005 is a wasteful number, since it uses less digits than its factorization.

83992005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 83992005 is about 9164.7152165247. The cubic root of 83992005 is about 437.9380190021.

It can be divided in two parts, 8399 and 2005, that added together give a square (10404 = 1022).

The spelling of 83992005 in words is "eighty-three million, nine hundred ninety-two thousand, five".

Divisors: 1 3 5 9 15 27 45 135 677 919 2031 2757 3385 4595 6093 8271 10155 13785 18279 24813 30465 41355 91395 124065 622163 1866489 3110815 5599467 9332445 16798401 27997335 83992005