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84025984 = 277213397
BaseRepresentation
bin1010000001000…
…10001010000000
312212002221222111
411000202022000
5133002312414
612200545104
72040131500
oct500421200
9185087874
1084025984
1143480a69
1224182194
131453ca23
14b233a00
15759b8c4
hex5022280

84025984 has 48 divisors (see below), whose sum is σ = 194739930. Its totient is φ = 36008448.

The previous prime is 84025979. The next prime is 84026003. The reversal of 84025984 is 48952048.

It can be written as a sum of positive squares in only one way, i.e., 83320384 + 705600 = 9128^2 + 840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427 + ... + 12970.

Almost surely, 284025984 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 84025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97369965).

84025984 is an abundant number, since it is smaller than the sum of its proper divisors (110713946).

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

84025984 is a wasteful number, since it uses less digits than its factorization.

84025984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13425 (or 13406 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 84025984 is about 9166.5688237202. The cubic root of 84025984 is about 437.9970670418.

The spelling of 84025984 in words is "eighty-four million, twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 13397 26794 53588 93779 107176 187558 214352 375116 428704 656453 750232 857408 1312906 1500464 1714816 2625812 3000928 5251624 6001856 10503248 12003712 21006496 42012992 84025984