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7934355625 = 54725092
BaseRepresentation
bin1110110001110110…
…01010100010101001
3202110221220000202011
413120323022202221
5112222143340000
63351152435521
7400422624100
oct73073124251
922427800664
107934355625
1134018118a9
121655248ba1
13995a6acb1
14553a9b037
153168802ba
hex1d8eca8a9

7934355625 has 45 divisors (see below), whose sum is σ = 11556212547. Its totient is φ = 5430012000.

The previous prime is 7934355613. The next prime is 7934355661. The reversal of 7934355625 is 5265534397.

The square root of 7934355625 is 89075.

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 3534421401 + 4399934224 = 59451^2 + 66332^2 .

It is not a de Polignac number, because 7934355625 - 25 = 7934355593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 15587871 + ... + 15588379.

Almost surely, 27934355625 is an apocalyptic number.

7934355625 is the 89075-th square number.

7934355625 is the 44538-th centered octagonal number.

It is an amenable number.

7934355625 is a deficient number, since it is larger than the sum of its proper divisors (3621856922).

7934355625 is an frugal number, since it uses more digits than its factorization.

7934355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 521 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 49.

The cubic root of 7934355625 is about 1994.5146043886.

Multiplying 7934355625 by its sum of digits (49), we get a square (388783425625 = 6235252).

7934355625 divided by its sum of digits (49) gives a square (161925625 = 127252).

The spelling of 7934355625 in words is "seven billion, nine hundred thirty-four million, three hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 509 625 875 1225 2545 3563 4375 6125 12725 17815 24941 30625 63625 89075 124705 259081 318125 445375 623525 1295405 1813567 2226875 3117625 6477025 9067835 12694969 15588125 32385125 45339175 63474845 161925625 226695875 317374225 1133479375 1586871125 7934355625