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422794944 = 263311132959
BaseRepresentation
bin11001001100110…
…101011011000000
31002110120012122000
4121030311123000
51331213414234
6105541544000
713322461215
oct3114653300
91073505560
10422794944
111a7725110
12b9715000
1369792c30
1440219b0c
15271b7899
hex193356c0

422794944 has 448 divisors, whose sum is σ = 1536192000. Its totient is φ = 112250880.

The previous prime is 422794937. The next prime is 422794949. The reversal of 422794944 is 449497224.

It is a self number, because there is not a number n which added to its sum of digits gives 422794944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422794949) 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 63 ways as a sum of consecutive naturals, for example, 7165987 + ... + 7166045.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2422794944 is an apocalyptic number.

422794944 is a gapful number since it is divisible by the number (44) 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 422794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

422794944 is an abundant number, since it is smaller than the sum of its proper divisors (1113397056).

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

422794944 is a wasteful number, since it uses less digits than its factorization.

422794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 422794944 is about 20561.9781149577. The cubic root of 422794944 is about 750.5447562251.

The spelling of 422794944 in words is "four hundred twenty-two million, seven hundred ninety-four thousand, nine hundred forty-four".