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84928008 = 233112911093
BaseRepresentation
bin1010000111111…
…10011000001000
312220210210022210
411003332120020
5133220144013
612232145120
72050606344
oct503763010
9186723283
1084928008
1143a37740
12245381a0
1314797479
14b3ca624
1576c8cc3
hex50fe608

84928008 has 64 divisors (see below), whose sum is σ = 239630400. Its totient is φ = 24846080.

The previous prime is 84927991. The next prime is 84928021. The reversal of 84928008 is 80082948.

It is a happy 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, 2110 + ... + 13202.

It is an arithmetic number, because the mean of its divisors is an integer number (3744225).

Almost surely, 284928008 is an apocalyptic number.

84928008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84928008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119815200).

84928008 is an abundant number, since it is smaller than the sum of its proper divisors (154702392).

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

84928008 is a wasteful number, since it uses less digits than its factorization.

84928008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11142 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 84928008 is about 9215.6393158587. The cubic root of 84928008 is about 439.5588001692.

The spelling of 84928008 in words is "eighty-four million, nine hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 11093 22186 33279 44372 66558 88744 122023 133116 244046 266232 321697 366069 488092 643394 732138 965091 976184 1286788 1464276 1930182 2573576 2928552 3538667 3860364 7077334 7720728 10616001 14154668 21232002 28309336 42464004 84928008