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422873264 = 241110123789
BaseRepresentation
bin11001001101001…
…000100010110000
31002110201012001202
4121031020202300
51331223421024
6105543350332
713323235442
oct3115104260
91073635052
10422873264
111a7778a40
12b97523a8
13697bc788
144023a492
15271d0bae
hex193488b0

422873264 has 40 divisors (see below), whose sum is σ = 902687760. Its totient is φ = 190304000.

The previous prime is 422873261. The next prime is 422873267. The reversal of 422873264 is 462378224.

It is an interprime number because it is at equal distance from previous prime (422873261) and next prime (422873267).

It is not an unprimeable number, because it can be changed into a prime (422873261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5882 + ... + 29670.

It is an arithmetic number, because the mean of its divisors is an integer number (22567194).

Almost surely, 2422873264 is an apocalyptic number.

422873264 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 422873264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451343880).

422873264 is an abundant number, since it is smaller than the sum of its proper divisors (479814496).

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

422873264 is a wasteful number, since it uses less digits than its factorization.

422873264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23909 (or 23903 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 422873264 is about 20563.8825127941. The cubic root of 422873264 is about 750.5910978672.

The spelling of 422873264 in words is "four hundred twenty-two million, eight hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 17776 23789 47578 95156 190312 261679 380624 523358 1046716 2093432 2402689 4186864 4805378 9610756 19221512 26429579 38443024 52859158 105718316 211436632 422873264