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84052224 = 28321912
BaseRepresentation
bin1010000001010…
…00100100000000
312212011021222100
411000220210000
5133004132344
612201310400
72040301134
oct500504400
9185137870
1084052224
1143499753
1224195400
131454b959
14b23d3c4
1575a4569
hex5028900

84052224 has 81 divisors (see below), whose sum is σ = 243618739. Its totient is φ = 27870720.

The previous prime is 84052211. The next prime is 84052231. The reversal of 84052224 is 42225048.

It is a happy number.

The square root of 84052224 is 9168.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 439969 + ... + 440159.

Almost surely, 284052224 is an apocalyptic number.

84052224 is the 9168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84052224

84052224 is an abundant number, since it is smaller than the sum of its proper divisors (159566515).

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

84052224 is an equidigital number, since it uses as much as digits as its factorization.

84052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The cubic root of 84052224 is about 438.0426555067.

The spelling of 84052224 in words is "eighty-four million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 256 288 382 384 573 576 764 768 1146 1152 1528 1719 2292 2304 3056 3438 4584 6112 6876 9168 12224 13752 18336 24448 27504 36481 36672 48896 55008 72962 73344 109443 110016 145924 146688 218886 220032 291848 328329 437772 440064 583696 656658 875544 1167392 1313316 1751088 2334784 2626632 3502176 4669568 5253264 7004352 9339136 10506528 14008704 21013056 28017408 42026112 84052224