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83308984 = 2311289967
BaseRepresentation
bin1001111011100…
…11000110111000
312210202112102221
410331303012320
5132311341414
612133333424
72031054223
oct475630670
9183675387
1083308984
1143031300
1223a97274
131434b575
14b0c85ba
1574a9224
hex4f731b8

83308984 has 48 divisors (see below), whose sum is σ = 173804400. Its totient is φ = 37403520.

The previous prime is 83308969. The next prime is 83308999. The reversal of 83308984 is 48980338.

It is an interprime number because it is at equal distance from previous prime (83308969) and next prime (83308999).

It is a super-2 number, since 2×833089842 = 13880773630224512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83308984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85669 + ... + 86635.

It is an arithmetic number, because the mean of its divisors is an integer number (3620925).

Almost surely, 283308984 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 83308984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86902200).

83308984 is an abundant number, since it is smaller than the sum of its proper divisors (90495416).

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

83308984 is a wasteful number, since it uses less digits than its factorization.

83308984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 83308984 is about 9127.3755264041. The cubic root of 83308984 is about 436.7476860201.

The spelling of 83308984 in words is "eighty-three million, three hundred eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 89 121 178 242 356 484 712 967 968 979 1934 1958 3868 3916 7736 7832 10637 10769 21274 21538 42548 43076 85096 86063 86152 117007 172126 234014 344252 468028 688504 936056 946693 1893386 3786772 7573544 10413623 20827246 41654492 83308984