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422760072 = 23372516429
BaseRepresentation
bin11001001100101…
…100111010001000
31002110111102210110
4121030230322020
51331211310242
6105541114320
713322254440
oct3114547210
91073442713
10422760072
111a7700999
12b96b89a0
13697800b7
144020b120
15271ac39c
hex1932ce88

422760072 has 32 divisors (see below), whose sum is σ = 1207886400. Its totient is φ = 120788544.

The previous prime is 422760067. The next prime is 422760077. The reversal of 422760072 is 270067224.

It is an interprime number because it is at equal distance from previous prime (422760067) and next prime (422760077).

It is not an unprimeable number, because it can be changed into a prime (422760077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1258047 + ... + 1258382.

It is an arithmetic number, because the mean of its divisors is an integer number (37746450).

Almost surely, 2422760072 is an apocalyptic number.

422760072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

422760072 is an abundant number, since it is smaller than the sum of its proper divisors (785126328).

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

422760072 is a wasteful number, since it uses less digits than its factorization.

422760072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516445 (or 2516441 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 422760072 is about 20561.1301245822. The cubic root of 422760072 is about 750.5241207557.

The spelling of 422760072 in words is "four hundred twenty-two million, seven hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2516429 5032858 7549287 10065716 15098574 17615003 20131432 30197148 35230006 52845009 60394296 70460012 105690018 140920024 211380036 422760072