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84845016 = 23333112671
BaseRepresentation
bin1010000111010…
…10000111011000
312220122120111000
411003222013120
5133210020031
612230305000
72050112364
oct503520730
9186576430
1084845016
1143990353
12244b8160
1314768769
14b3a82a4
1576ae3e6
hex50ea1d8

84845016 has 64 divisors (see below), whose sum is σ = 243302400. Its totient is φ = 27367200.

The previous prime is 84845003. The next prime is 84845069. The reversal of 84845016 is 61054848.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361 + ... + 13031.

It is an arithmetic number, because the mean of its divisors is an integer number (3801600).

Almost surely, 284845016 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 84845016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651200).

84845016 is an abundant number, since it is smaller than the sum of its proper divisors (158457384).

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

84845016 is a wasteful number, since it uses less digits than its factorization.

84845016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12717 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 84845016 is about 9211.1354348962. The cubic root of 84845016 is about 439.4155739473.

The spelling of 84845016 in words is "eighty-four million, eight hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 12671 25342 38013 50684 76026 101368 114039 152052 228078 304104 342117 392801 456156 684234 785602 912312 1178403 1368468 1571204 2356806 2736936 3142408 3535209 4713612 7070418 9427224 10605627 14140836 21211254 28281672 42422508 84845016