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422293248 = 28321323613
BaseRepresentation
bin11001001010111…
…010111100000000
31002102121201102200
4121022322330000
51331101340443
6105523113200
713315301436
oct3112727400
91072551380
10422293248
111a7412193
12b9512800
1369648780
1440128d56
1527118dd3
hex192baf00

422293248 has 216 divisors, whose sum is σ = 1370477472. Its totient is φ = 124084224.

The previous prime is 422293231. The next prime is 422293279. The reversal of 422293248 is 842392224.

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 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 23 ways as a sum of consecutive naturals, for example, 688590 + ... + 689202.

Almost surely, 2422293248 is an apocalyptic number.

422293248 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 422293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685238736).

422293248 is an abundant number, since it is smaller than the sum of its proper divisors (948184224).

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

422293248 is a wasteful number, since it uses less digits than its factorization.

422293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 422293248 is about 20549.7748892780. The cubic root of 422293248 is about 750.2477688051.

The spelling of 422293248 in words is "four hundred twenty-two million, two hundred ninety-three thousand, two hundred forty-eight".