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5282152992 = 25333153612
BaseRepresentation
bin1001110101101011…
…10100001000100000
3111122010022011201000
410322311310020200
541304212343432
62232050512000
7244616362644
oct47265641040
914563264630
105282152992
1122707017a6
121034b95600
1366244b21c
1438174ac24
1520dadc57c
hex13ad74220

5282152992 has 288 divisors, whose sum is σ = 16473300480. Its totient is φ = 1644364800.

The previous prime is 5282152979. The next prime is 5282152999. The reversal of 5282152992 is 2992512825.

It is a happy number.

5282152992 is a `hidden beast` number, since 528 + 2 + 15 + 29 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×52821529922 = 55802280461789104128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (259200) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (5282152999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86592642 + ... + 86592702.

It is an arithmetic number, because the mean of its divisors is an integer number (57198960).

Almost surely, 25282152992 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 5282152992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236650240).

5282152992 is an abundant number, since it is smaller than the sum of its proper divisors (11191147488).

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

5282152992 is a wasteful number, since it uses less digits than its factorization.

5282152992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 150 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 5282152992 is about 72678.4217770309. The cubic root of 5282152992 is about 1741.5541880624.

The spelling of 5282152992 in words is "five billion, two hundred eighty-two million, one hundred fifty-two thousand, nine hundred ninety-two".