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422058048 = 26317191677
BaseRepresentation
bin11001001010000…
…001100001000000
31002102011202210120
4121022001201000
51331021324143
6105514100240
713313301636
oct3112014100
91072152716
10422058048
111a7271505
12b941a680
13695956b9
14400a7356
15270be383
hex19281840

422058048 has 112 divisors (see below), whose sum is σ = 1190329344. Its totient is φ = 131522560.

The previous prime is 422058037. The next prime is 422058097. The reversal of 422058048 is 840850224.

It is a happy number.

It is a congruent 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, 623086 + ... + 623762.

Almost surely, 2422058048 is an apocalyptic number.

422058048 is a gapful number since it is divisible by the number (48) 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 422058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595164672).

422058048 is an abundant number, since it is smaller than the sum of its proper divisors (768271296).

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

422058048 is a wasteful number, since it uses less digits than its factorization.

422058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 422058048 is about 20544.0514018049. The cubic root of 422058048 is about 750.1084572042.

The spelling of 422058048 in words is "four hundred twenty-two million, fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 191 192 204 272 382 408 544 573 677 764 816 1088 1146 1354 1528 1632 2031 2292 2708 3056 3247 3264 4062 4584 5416 6112 6494 8124 9168 9741 10832 11509 12224 12988 16248 18336 19482 21664 23018 25976 32496 34527 36672 38964 43328 46036 51952 64992 69054 77928 92072 103904 129307 129984 138108 155856 184144 207808 258614 276216 311712 368288 387921 517228 552432 623424 736576 775842 1034456 1104864 1551684 2068912 2198219 2209728 3103368 4137824 4396438 6206736 6594657 8275648 8792876 12413472 13189314 17585752 24826944 26378628 35171504 52757256 70343008 105514512 140686016 211029024 422058048