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422752704 = 26311231587
BaseRepresentation
bin11001001100101…
…011000111000000
31002110111001200120
4121030223013000
51331211041304
6105541020240
713322224113
oct3114530700
91073431616
10422752704
111a76a6400
12b96b4680
136977993a
144020857a
15271aa0d9
hex1932b1c0

422752704 has 168 divisors, whose sum is σ = 1271284224. Its totient is φ = 123763200.

The previous prime is 422752703. The next prime is 422752711. The reversal of 422752704 is 407257224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422752703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719899 + ... + 720485.

It is an arithmetic number, because the mean of its divisors is an integer number (7567168).

Almost surely, 2422752704 is an apocalyptic number.

422752704 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 422752704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635642112).

422752704 is an abundant number, since it is smaller than the sum of its proper divisors (848531520).

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

422752704 is a wasteful number, since it uses less digits than its factorization.

422752704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 422752704 is about 20560.9509507707. The cubic root of 422752704 is about 750.5197606042.

The spelling of 422752704 in words is "four hundred twenty-two million, seven hundred fifty-two thousand, seven hundred four".