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240879732025 = 5210329532
BaseRepresentation
bin1110000001010110001…
…1010000010100111001
3212000202022201020110111
43200111203100110321
512421310202411100
6302354132344321
723255136640132
oct3402543202471
9760668636414
10240879732025
119317a3689a9
123a8261750a1
131993a71ca1a
14b931450c89
1563ec2d26ba
hex38158d0539

240879732025 has 27 divisors (see below), whose sum is σ = 301935759789. Its totient is φ = 190632630720.

The previous prime is 240879732001. The next prime is 240879732031. The reversal of 240879732025 is 520237978042.

The square root of 240879732025 is 490795.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12078229801 + 228801502224 = 109901^2 + 478332^2 .

It is not a de Polignac number, because 240879732025 - 25 = 240879731993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 240879732025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252758949 + ... + 252759901.

Almost surely, 2240879732025 is an apocalyptic number.

240879732025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240879732025 is the 490795-th square number.

240879732025 is the 245398-th centered octagonal number.

It is an amenable number.

240879732025 is a deficient number, since it is larger than the sum of its proper divisors (61056027764).

240879732025 is an frugal number, since it uses more digits than its factorization.

240879732025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 240879732025 by its sum of digits (49), we get a square (11803106869225 = 34355652).

The spelling of 240879732025 in words is "two hundred forty billion, eight hundred seventy-nine million, seven hundred thirty-two thousand, twenty-five".

Divisors: 1 5 25 103 515 953 2575 4765 10609 23825 53045 98159 265225 490795 908209 2453975 4541045 10110377 22705225 50551885 93545527 252759425 467727635 2338638175 9635189281 48175946405 240879732025