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83352016 = 24114111551
BaseRepresentation
bin1001111011111…
…01100111010000
312210211201110201
410331331213100
5132314231031
612134304544
72031323536
oct475754720
9183751421
1083352016
1143060670
1223ab8154
1314365027
14b0da156
1574b6d61
hex4f7d9d0

83352016 has 40 divisors (see below), whose sum is σ = 180488448. Its totient is φ = 36960000.

The previous prime is 83352013. The next prime is 83352053. The reversal of 83352016 is 61025338.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83352011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441 + ... + 12991.

Almost surely, 283352016 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 83352016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90244224).

83352016 is an abundant number, since it is smaller than the sum of its proper divisors (97136432).

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

83352016 is a wasteful number, since it uses less digits than its factorization.

83352016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11611 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 83352016 is about 9129.7325262025. The cubic root of 83352016 is about 436.8228715544.

The spelling of 83352016 in words is "eighty-three million, three hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 11551 23102 46204 92408 127061 184816 254122 473591 508244 947182 1016488 1894364 2032976 3788728 5209501 7577456 10419002 20838004 41676008 83352016