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4974428592 = 2433723371933
BaseRepresentation
bin1001010000111111…
…11100000110110000
3110211200021011012000
410220133330012300
540141423203332
62141335134000
7234161642160
oct45037740660
913750234160
104974428592
112122a31911
12b69b14300
13613777593
143529265a0
151e1aa4b7c
hex1287fc1b0

4974428592 has 320 divisors, whose sum is σ = 17496975360. Its totient is φ = 1322044416.

The previous prime is 4974428587. The next prime is 4974428597. The reversal of 4974428592 is 2958244794.

It is a happy number.

4974428592 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 42 + 8 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (4974428587) and next prime (4974428597).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4974428597) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2572458 + ... + 2574390.

It is an arithmetic number, because the mean of its divisors is an integer number (54678048).

Almost surely, 24974428592 is an apocalyptic number.

4974428592 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 4974428592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748487680).

4974428592 is an abundant number, since it is smaller than the sum of its proper divisors (12522546768).

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

4974428592 is a wasteful number, since it uses less digits than its factorization.

4974428592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2005 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4974428592 is about 70529.6291780979. The cubic root of 4974428592 is about 1707.0558634551.

The spelling of 4974428592 in words is "four billion, nine hundred seventy-four million, four hundred twenty-eight thousand, five hundred ninety-two".