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1072443825 = 325238912253
BaseRepresentation
bin111111111011000…
…011000110110001
32202201222210100200
4333323003012301
54144021200300
6254230105413
735401423245
oct7773030661
92681883320
101072443825
11500403a12
1225b1ab269
1314125315b
14a2608425
1564241200
hex3fec31b1

1072443825 has 36 divisors (see below), whose sum is σ = 1925961180. Its totient is φ = 570453120.

The previous prime is 1072443821. The next prime is 1072443833. The reversal of 1072443825 is 5283442701.

It is a happy number.

1072443825 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 86044176 + 986399649 = 9276^2 + 31407^2 .

It is not a de Polignac number, because 1072443825 - 22 = 1072443821 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1072443825.

It is not an unprimeable number, because it can be changed into a prime (1072443821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81399 + ... + 93651.

Almost surely, 21072443825 is an apocalyptic number.

1072443825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1072443825 is the 17505-th nonagonal number.

It is an amenable number.

1072443825 is a deficient number, since it is larger than the sum of its proper divisors (853517355).

1072443825 is a wasteful number, since it uses less digits than its factorization.

1072443825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12658 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1072443825 is about 32748.1881178181. The cubic root of 1072443825 is about 1023.5872108514.

The spelling of 1072443825 in words is "one billion, seventy-two million, four hundred forty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 389 1167 1945 3501 5835 9725 12253 17505 29175 36759 61265 87525 110277 183795 306325 551385 918975 2756925 4766417 14299251 23832085 42897753 71496255 119160425 214488765 357481275 1072443825