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2352987648 = 29321161761
BaseRepresentation
bin1000110000111111…
…1011111000000000
320001222120011020200
42030033323320000
514304331101043
61025252405200
7112211031204
oct21417737000
96058504220
102352987648
11aa82224a0
12558016800
132b66383ab
14184702b04
15db88b7d3
hex8c3fbe00

2352987648 has 240 divisors, whose sum is σ = 7539575472. Its totient is φ = 700416000.

The previous prime is 2352987647. The next prime is 2352987671. The reversal of 2352987648 is 8467892532.

2352987648 is a `hidden beast` number, since 2 + 3 + 529 + 8 + 76 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2352987594 and 2352987603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352987647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3091588 + ... + 3092348.

Almost surely, 22352987648 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 2352987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769787736).

2352987648 is an abundant number, since it is smaller than the sum of its proper divisors (5186587824).

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

2352987648 is a wasteful number, since it uses less digits than its factorization.

2352987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

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

The square root of 2352987648 is about 48507.6040224623. The cubic root of 2352987648 is about 1330.0660731869.

The spelling of 2352987648 in words is "two billion, three hundred fifty-two million, nine hundred eighty-seven thousand, six hundred forty-eight".