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5272439040 = 28355112367
BaseRepresentation
bin1001110100100001…
…10000100100000000
3111121110000122200000
410322100300210000
541244221022130
62231102400000
7244440664251
oct47220604400
914543018600
105272439040
112266177540
121031890000
1366042991b
1438033cb28
1520cd1e260
hex13a430900

5272439040 has 864 divisors, whose sum is σ = 21856214016. Its totient is φ = 1204346880.

The previous prime is 5272439033. The next prime is 5272439057. The reversal of 5272439040 is 409342725.

5272439040 is a `hidden beast` number, since 527 + 2 + 4 + 3 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×52724390402 = 55597226861032243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5272438986 and 5272439004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78693087 + ... + 78693153.

It is an arithmetic number, because the mean of its divisors is an integer number (25296544).

Almost surely, 25272439040 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 5272439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928107008).

5272439040 is an abundant number, since it is smaller than the sum of its proper divisors (16583774976).

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

5272439040 is a wasteful number, since it uses less digits than its factorization.

5272439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5272439040 is about 72611.5627155896. The cubic root of 5272439040 is about 1740.4859522597.

The spelling of 5272439040 in words is "five billion, two hundred seventy-two million, four hundred thirty-nine thousand, forty".