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4922442252 = 22357131929101
BaseRepresentation
bin1001001010110011…
…01000001000001100
3110201001102222100000
410211121220020030
540040121123002
62132241004300
7232661032410
oct44531501014
913631388300
104922442252
1120a66547a2
12b54623690
13605a75030
14349a72d40
151dc23661c
hex12566820c

4922442252 has 576 divisors, whose sum is σ = 17465011200. Its totient is φ = 1175731200.

The previous prime is 4922442251. The next prime is 4922442269. The reversal of 4922442252 is 2522442294.

4922442252 is a `hidden beast` number, since 4 + 9 + 224 + 422 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4922442251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48737002 + ... + 48737102.

It is an arithmetic number, because the mean of its divisors is an integer number (30321200).

Almost surely, 24922442252 is an apocalyptic number.

4922442252 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 4922442252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732505600).

4922442252 is an abundant number, since it is smaller than the sum of its proper divisors (12542568948).

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

4922442252 is a wasteful number, since it uses less digits than its factorization.

4922442252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4922442252 is about 70160.1186715074. The cubic root of 4922442252 is about 1701.0883747931.

The spelling of 4922442252 in words is "four billion, nine hundred twenty-two million, four hundred forty-two thousand, two hundred fifty-two".