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1052898048 = 28332337179
BaseRepresentation
bin111110110000011…
…111001100000000
32201101012202121000
4332300133030000
54124020214143
6252251132000
735043325416
oct7660371400
92641182530
101052898048
114a0373984
12254744000
1313a19b6c7
149db9b2b6
156267ebd3
hex3ec1f300

1052898048 has 288 divisors, whose sum is σ = 3355430400. Its totient is φ = 324808704.

The previous prime is 1052898047. The next prime is 1052898073. The reversal of 1052898048 is 8408982501.

It is a happy number.

1052898048 is a `hidden beast` number, since 1 + 0 + 528 + 9 + 80 + 48 = 666.

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

It is a super-2 number, since 2×10528980482 = 2217188598964420608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052897994 and 1052898012.

It is not an unprimeable number, because it can be changed into a prime (1052898047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5882023 + ... + 5882201.

It is an arithmetic number, because the mean of its divisors is an integer number (11650800).

Almost surely, 21052898048 is an apocalyptic number.

1052898048 is a gapful number since it is divisible by the number (18) 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 1052898048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677715200).

1052898048 is an abundant number, since it is smaller than the sum of its proper divisors (2302532352).

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

1052898048 is a wasteful number, since it uses less digits than its factorization.

1052898048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1052898048 is about 32448.3905301943. The cubic root of 1052898048 is about 1017.3305979614.

The spelling of 1052898048 in words is "one billion, fifty-two million, eight hundred ninety-eight thousand, forty-eight".