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422791488 = 2634761191
BaseRepresentation
bin11001001100110…
…100100101000000
31002110120000220000
4121030310211000
51331213311423
6105541520000
713322445150
oct3114644500
91073500800
10422791488
111a7722559
12b9713000
13697914a2
1440218760
15271b6843
hex19334940

422791488 has 280 divisors, whose sum is σ = 1463430144. Its totient is φ = 118195200.

The previous prime is 422791483. The next prime is 422791511. The reversal of 422791488 is 884197224.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422791483) 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 39 ways as a sum of consecutive naturals, for example, 2213473 + ... + 2213663.

Almost surely, 2422791488 is an apocalyptic number.

422791488 is a gapful number since it is divisible by the number (48) 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 422791488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731715072).

422791488 is an abundant number, since it is smaller than the sum of its proper divisors (1040638656).

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

422791488 is a wasteful number, since it uses less digits than its factorization.

422791488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 422791488 is about 20561.8940761789. The cubic root of 422791488 is about 750.5427111914.

The spelling of 422791488 in words is "four hundred twenty-two million, seven hundred ninety-one thousand, four hundred eighty-eight".