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84022764 = 22378911239
BaseRepresentation
bin1010000001000…
…01010111101100
312212002210120020
411000201113230
5133002212024
612200522140
72040116220
oct500412754
9185083506
1084022764
1143479601
1224180350
131453b417
14b232780
15759a979
hex50215ec

84022764 has 48 divisors (see below), whose sum is σ = 226598400. Its totient is φ = 23734656.

The previous prime is 84022747. The next prime is 84022777. The reversal of 84022764 is 46722048.

84022764 is a modest number, since divided by 22764 gives 840 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857 + ... + 13095.

It is an arithmetic number, because the mean of its divisors is an integer number (4720800).

Almost surely, 284022764 is an apocalyptic number.

84022764 is a gapful number since it is divisible by the number (84) 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 84022764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113299200).

84022764 is an abundant number, since it is smaller than the sum of its proper divisors (142575636).

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

84022764 is a wasteful number, since it uses less digits than its factorization.

84022764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 84022764 is about 9166.3931837992. The cubic root of 84022764 is about 437.9914720718.

The spelling of 84022764 in words is "eighty-four million, twenty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 11239 22478 33717 44956 67434 78673 134868 157346 236019 314692 472038 944076 1000271 2000542 3000813 4001084 6001626 7001897 12003252 14003794 21005691 28007588 42011382 84022764