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422084592 = 243223314111
BaseRepresentation
bin11001001010000…
…111111111110000
31002102020010012200
4121022013333300
51331023201332
6105514423200
713313442216
oct3112077760
91072203180
10422084592
111a728a446
12b9431b00
13695a47c7
14400b2cb6
15270c717c
hex19287ff0

422084592 has 120 divisors (see below), whose sum is σ = 1272680448. Its totient is φ = 130204800.

The previous prime is 422084587. The next prime is 422084617. The reversal of 422084592 is 295480224.

422084592 is a `hidden beast` number, since 42 + 20 + 8 + 4 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100617 + ... + 104727.

Almost surely, 2422084592 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 422084592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636340224).

422084592 is an abundant number, since it is smaller than the sum of its proper divisors (850595856).

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

422084592 is a wasteful number, since it uses less digits than its factorization.

422084592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 422084592 is about 20544.6974180687. The cubic root of 422084592 is about 750.1241821039.

The spelling of 422084592 in words is "four hundred twenty-two million, eighty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 36 46 48 62 69 72 92 93 124 138 144 184 186 207 248 276 279 368 372 414 496 552 558 713 744 828 1104 1116 1426 1488 1656 2139 2232 2852 3312 4111 4278 4464 5704 6417 8222 8556 11408 12333 12834 16444 17112 24666 25668 32888 34224 36999 49332 51336 65776 73998 94553 98664 102672 127441 147996 189106 197328 254882 283659 295992 378212 382323 509764 567318 591984 756424 764646 850977 1019528 1134636 1146969 1512848 1529292 1701954 2039056 2269272 2293938 2931143 3058584 3403908 4538544 4587876 5862286 6117168 6807816 8793429 9175752 11724572 13615632 17586858 18351504 23449144 26380287 35173716 46898288 52760574 70347432 105521148 140694864 211042296 422084592