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8273948025 = 3527174332141
BaseRepresentation
bin1111011010010101…
…00110110101111001
3210100121220002221110
413231022212311321
5113421112314100
63445003230533
7412015253310
oct75512466571
923317802843
108273948025
113566478682
12172ab18449
13a1b21bc45
14586c19277
153365b0250
hex1ed2a6d79

8273948025 has 96 divisors (see below), whose sum is σ = 16599437568. Its totient is φ = 3550003200.

The previous prime is 8273948017. The next prime is 8273948047. The reversal of 8273948025 is 5208493728.

8273948025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8273948025 - 23 = 8273948017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3863455 + ... + 3865595.

It is an arithmetic number, because the mean of its divisors is an integer number (172910808).

Almost surely, 28273948025 is an apocalyptic number.

8273948025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8273948025 is an abundant number, since it is smaller than the sum of its proper divisors (8325489543).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8273948025 is a wasteful number, since it uses less digits than its factorization.

8273948025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 8273948025 is about 90961.2446319860. The cubic root of 8273948025 is about 2022.5732673618.

The spelling of 8273948025 in words is "eight billion, two hundred seventy-three million, nine hundred forty-eight thousand, twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 433 525 595 1275 1299 1785 2141 2165 2975 3031 6423 6495 7361 8925 9093 10705 10825 14987 15155 22083 32115 32475 36397 36805 44961 45465 51527 53525 74935 75775 109191 110415 154581 160575 181985 184025 224805 227325 254779 257635 374675 545955 552075 764337 772905 909925 927053 1124025 1273895 1288175 2729775 2781159 3821685 3864525 4635265 6369475 6489371 13905795 15759901 19108425 19468113 23176325 32446855 47279703 69528975 78799505 97340565 110319307 162234275 236398515 330957921 393997525 486702825 551596535 1181992575 1654789605 2757982675 8273948025