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422882640 = 243352943157
BaseRepresentation
bin11001001101001…
…010110101010000
31002110201122221000
4121031022311100
51331224221030
6105543502000
713323304665
oct3115126520
91073648830
10422882640
111a7784a94
12b9757900
13697c3b1b
144023da6c
15271d3860
hex1934ad50

422882640 has 320 divisors, whose sum is σ = 1551686400. Its totient is φ = 105670656.

The previous prime is 422882617. The next prime is 422882653. The reversal of 422882640 is 46288224.

It is a happy number.

422882640 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 8 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422882595 and 422882604.

It is a congruent number.

It is an unprimeable number.

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, 2693442 + ... + 2693598.

It is an arithmetic number, because the mean of its divisors is an integer number (4849020).

Almost surely, 2422882640 is an apocalyptic number.

422882640 is a gapful number since it is divisible by the number (40) 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 422882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775843200).

422882640 is an abundant number, since it is smaller than the sum of its proper divisors (1128803760).

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

422882640 is a wasteful number, since it uses less digits than its factorization.

422882640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 422882640 is about 20564.1104840448. The cubic root of 422882640 is about 750.5966452268.

It can be divided in two parts, 4228 and 82640, that added together give a palindrome (86868).

The spelling of 422882640 in words is "four hundred twenty-two million, eight hundred eighty-two thousand, six hundred forty".