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422597952 = 2633732331
BaseRepresentation
bin11001001100000…
…101010101000000
31002110012012102000
4121030011111000
51331141113302
6105533424000
713321011000
oct3114052500
91073165360
10422597952
111a7600107
12b963b000
136972437a
14401a8000
152717931c
hex19305540

422597952 has 448 divisors, whose sum is σ = 1560576000. Its totient is φ = 111767040.

The previous prime is 422597941. The next prime is 422597963. The reversal of 422597952 is 259795224.

422597952 is a `hidden beast` number, since 4 + 2 + 2 + 597 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (422597941) and next prime (422597963).

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (453600) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 422597898 and 422597907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13632177 + ... + 13632207.

Almost surely, 2422597952 is an apocalyptic number.

422597952 is a gapful number since it is divisible by the number (42) 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 422597952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780288000).

422597952 is an abundant number, since it is smaller than the sum of its proper divisors (1137978048).

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

422597952 is a wasteful number, since it uses less digits than its factorization.

422597952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 422597952 is about 20557.1873562509. The cubic root of 422597952 is about 750.4281715124.

The spelling of 422597952 in words is "four hundred twenty-two million, five hundred ninety-seven thousand, nine hundred fifty-two".