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422413992 = 2332711135861
BaseRepresentation
bin11001001011011…
…000011010101000
31002102211212001200
4121023120122220
51331114221432
6105525444200
713316313450
oct3113303250
91072755050
10422413992
111a7494980
12b9570660
136968b710
144015ad60
152713ea7c
hex192d86a8

422413992 has 192 divisors, whose sum is σ = 1536312960. Its totient is φ = 101260800.

The previous prime is 422413991. The next prime is 422413993. The reversal of 422413992 is 299314224.

It is an interprime number because it is at equal distance from previous prime (422413991) and next prime (422413993).

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

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

It is not an unprimeable number, because it can be changed into a prime (422413991) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 69142 + ... + 75002.

It is an arithmetic number, because the mean of its divisors is an integer number (8001630).

Almost surely, 2422413992 is an apocalyptic number.

422413992 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 422413992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768156480).

422413992 is an abundant number, since it is smaller than the sum of its proper divisors (1113898968).

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

422413992 is a wasteful number, since it uses less digits than its factorization.

422413992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5897 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 422413992 is about 20552.7125217087. The cubic root of 422413992 is about 750.3192667390.

It can be divided in two parts, 422 and 413992, that added together give a palindrome (414414).

The spelling of 422413992 in words is "four hundred twenty-two million, four hundred thirteen thousand, nine hundred ninety-two".