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422874752 = 2729113921
BaseRepresentation
bin11001001101001…
…000111010000000
31002110201021002212
4121031020322000
51331223443002
6105543401252
713323242666
oct3115107200
91073637085
10422874752
111a777a073
12b9753228
13697c0361
144023ac36
15271d1352
hex19348e80

422874752 has 32 divisors (see below), whose sum is σ = 871503300. Its totient is φ = 204144640.

The previous prime is 422874743. The next prime is 422874769. The reversal of 422874752 is 257478224.

It can be written as a sum of positive squares in 2 ways, for example, as 418447936 + 4426816 = 20456^2 + 2104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53249 + ... + 60672.

Almost surely, 2422874752 is an apocalyptic number.

It is an amenable number.

422874752 is an abundant number, since it is smaller than the sum of its proper divisors (448628548).

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

422874752 is a wasteful number, since it uses less digits than its factorization.

422874752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113964 (or 113952 counting only the distinct ones).

The product of its digits is 250880, while the sum is 41.

The square root of 422874752 is about 20563.9186927006. The cubic root of 422874752 is about 750.5919782557.

The spelling of 422874752 in words is "four hundred twenty-two million, eight hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 113921 227842 455684 911368 1822736 3303709 3645472 6607418 7290944 13214836 14581888 26429672 52859344 105718688 211437376 422874752