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5442165792 = 253872232
BaseRepresentation
bin1010001000110000…
…01101110000100000
3112001021101200000000
411010120031300200
542121143301132
62300004300000
7251601434400
oct50430156040
915037350000
105442165792
112342a62788
12107a6a1600
1368964475b
14398ac0800
1521cb9887c
hex14460dc20

5442165792 has 486 divisors, whose sum is σ = 19542484143. Its totient is φ = 1487299968.

The previous prime is 5442165761. The next prime is 5442165793. The reversal of 5442165792 is 2975612445.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5442165792 is a `hidden beast` number, since 54 + 4 + 21 + 6 + 579 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2721082896 + 2721082896 = 52164^2 + 52164^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=52164.

It is a super-2 number, since 2×54421657922 = 59234337015229974528, which contains 22 as substring.

Its product of digits (604800) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (5442165793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 236615893 + ... + 236615915.

Almost surely, 25442165792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5442165792

5442165792 is an abundant number, since it is smaller than the sum of its proper divisors (14100318351).

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

5442165792 is an frugal number, since it uses more digits than its factorization.

5442165792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 35 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 5442165792 is about 73771.0362676301. The cubic root of 5442165792 is about 1758.9652354094.

The spelling of 5442165792 in words is "five billion, four hundred forty-two million, one hundred sixty-five thousand, seven hundred ninety-two".