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1240800625 = 5414092
BaseRepresentation
bin100100111110101…
…0001110101110001
310012110210012110201
41021331101311301
510020121110000
6323042355201
742514426351
oct11175216561
93173705421
101240800625
11587443969
122a765bb01
1316a0ab56c
14bab10b61
1573de996a
hex49f51d71

1240800625 has 15 divisors (see below), whose sum is σ = 1551605671. Its totient is φ = 991936000.

The previous prime is 1240800601. The next prime is 1240800677. The reversal of 1240800625 is 5260080421.

The square root of 1240800625 is 35225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1204992369 + 35808256 = 34713^2 + 5984^2 .

It is not a de Polignac number, because 1240800625 - 27 = 1240800497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1240800593 and 1240800602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 879921 + ... + 881329.

Almost surely, 21240800625 is an apocalyptic number.

1240800625 is the 35225-th square number.

1240800625 is the 17613-rd centered octagonal number.

It is an amenable number.

1240800625 is a deficient number, since it is larger than the sum of its proper divisors (310805046).

1240800625 is an frugal number, since it uses more digits than its factorization.

1240800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 1240800625 is about 1074.5682419736.

The spelling of 1240800625 in words is "one billion, two hundred forty million, eight hundred thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1409 7045 35225 176125 880625 1985281 9926405 49632025 248160125 1240800625