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84616896 = 26371329167
BaseRepresentation
bin1010000101100…
…10011011000000
312220012222120010
411002302123000
5133130220041
612221344520
72045142330
oct502623300
9186188503
1084616896
1143844a21
1224408140
13146b8990
14b3490c0
157666a16
hex50b26c0

84616896 has 224 divisors, whose sum is σ = 286755840. Its totient is φ = 21417984.

The previous prime is 84616879. The next prime is 84616897. The reversal of 84616896 is 69861648.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84616897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506605 + ... + 506771.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 284616896 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 84616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377920).

84616896 is an abundant number, since it is smaller than the sum of its proper divisors (202138944).

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

84616896 is a wasteful number, since it uses less digits than its factorization.

84616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 84616896 is about 9198.7442621262. The cubic root of 84616896 is about 439.0214064139.

The spelling of 84616896 in words is "eighty-four million, six hundred sixteen thousand, eight hundred ninety-six".