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422590592 = 27232792
BaseRepresentation
bin11001001100000…
…011100010000000
31002110011211022102
4121030003202000
51331140344332
6105533325532
713320650354
oct3114034200
91073154272
10422590592
111a75a5626
12b96368a8
1369720c08
14401a5464
1527177062
hex19303880

422590592 has 72 divisors (see below), whose sum is σ = 891355815. Its totient is φ = 199550208.

The previous prime is 422590577. The next prime is 422590631. The reversal of 422590592 is 295095224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 211295296 + 211295296 = 14536^2 + 14536^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14536.

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, 5349209 + ... + 5349287.

Almost surely, 2422590592 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 422590592

422590592 is an abundant number, since it is smaller than the sum of its proper divisors (468765223).

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

422590592 is an frugal number, since it uses more digits than its factorization.

422590592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 422590592 is about 20557.0083426553. The cubic root of 422590592 is about 750.4238149812.

Multiplying 422590592 by its product of nonzero digits (64800), we get a square (27383870361600 = 52329602).

The spelling of 422590592 in words is "four hundred twenty-two million, five hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 128 158 184 316 368 529 632 736 1058 1264 1472 1817 2116 2528 2944 3634 4232 5056 6241 7268 8464 10112 12482 14536 16928 24964 29072 33856 41791 49928 58144 67712 83582 99856 116288 143543 167164 199712 232576 287086 334328 399424 574172 668656 798848 1148344 1337312 2296688 2674624 3301489 4593376 5349248 6602978 9186752 13205956 18373504 26411912 52823824 105647648 211295296 422590592