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8407973025 = 325261132
BaseRepresentation
bin1111101010010011…
…10111110010100001
3210200222002021200100
413311021313302201
5114204420114100
63510152013013
7415233406614
oct76511676241
923628067610
108407973025
113625099641
121767991169
13a3cc1678a
1459a94617b
15343236400
hex1f5277ca1

8407973025 has 27 divisors (see below), whose sum is σ = 15062077849. Its totient is φ = 4483518720.

The previous prime is 8407972997. The next prime is 8407973059. The reversal of 8407973025 is 5203797048.

The square root of 8407973025 is 91695.

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 66438801 + 8341534224 = 8151^2 + 91332^2 .

It is not a de Polignac number, because 8407973025 - 219 = 8407448737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1372369 + ... + 1378481.

Almost surely, 28407973025 is an apocalyptic number.

8407973025 is the 91695-th square number.

8407973025 is the 45848-th centered octagonal number.

It is an amenable number.

8407973025 is a deficient number, since it is larger than the sum of its proper divisors (6654104824).

8407973025 is an frugal number, since it uses more digits than its factorization.

8407973025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The cubic root of 8407973025 is about 2033.4356652939.

The spelling of 8407973025 in words is "eight billion, four hundred seven million, nine hundred seventy-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6113 18339 30565 55017 91695 152825 275085 458475 1375425 37368769 112106307 186843845 336318921 560531535 934219225 1681594605 2802657675 8407973025