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83708064 = 25321126423
BaseRepresentation
bin1001111110101…
…00100010100000
312211111210212200
410333110202200
5132412124224
612150053200
72034335556
oct477244240
9184453780
1083708064
1143284120
122404a200
131445b0cb
14b18dbd6
1575375c9
hex4fd48a0

83708064 has 72 divisors (see below), whose sum is σ = 259695072. Its totient is φ = 25365120.

The previous prime is 83708059. The next prime is 83708071. The reversal of 83708064 is 46080738.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 10044 + ... + 16379.

It is an arithmetic number, because the mean of its divisors is an integer number (3606876).

Almost surely, 283708064 is an apocalyptic number.

It is an amenable number.

83708064 is an abundant number, since it is smaller than the sum of its proper divisors (175987008).

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

83708064 is a wasteful number, since it uses less digits than its factorization.

83708064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26450 (or 26439 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83708064 is about 9149.2111135332. The cubic root of 83708064 is about 437.4439682255.

The spelling of 83708064 in words is "eighty-three million, seven hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 26423 52846 79269 105692 158538 211384 237807 290653 317076 422768 475614 581306 634152 845536 871959 951228 1162612 1268304 1743918 1902456 2325224 2536608 2615877 3487836 3804912 4650448 5231754 6975672 7609824 9300896 10463508 13951344 20927016 27902688 41854032 83708064