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2948070825 = 3252711031697
BaseRepresentation
bin1010111110110111…
…1111110110101001
321121110022111220100
42233231333312221
522014201231300
61204311220013
7133025121450
oct25755776651
97543274810
102948070825
111283122277
126a3377609
1337ca0200b
141dd769b97
15123c37700
hexafb7fda9

2948070825 has 72 divisors (see below), whose sum is σ = 6043684608. Its totient is φ = 1345674240.

The previous prime is 2948070823. The next prime is 2948070857. The reversal of 2948070825 is 5280708492.

2948070825 is a `hidden beast` number, since 29 + 480 + 70 + 82 + 5 = 666.

It is not a de Polignac number, because 2948070825 - 21 = 2948070823 is a prime.

It is a super-2 number, since 2×29480708252 = 17382243178432361250, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2948070821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1736377 + ... + 1738073.

It is an arithmetic number, because the mean of its divisors is an integer number (83940064).

Almost surely, 22948070825 is an apocalyptic number.

2948070825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2948070825 is an abundant number, since it is smaller than the sum of its proper divisors (3095613783).

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

2948070825 is a wasteful number, since it uses less digits than its factorization.

2948070825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2948070825 is about 54296.1400561771. The cubic root of 2948070825 is about 1433.8794402126.

The spelling of 2948070825 in words is "two billion, nine hundred forty-eight million, seventy thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1103 1575 1697 3309 5091 5515 7721 8485 9927 11879 15273 16545 23163 25455 27575 35637 38605 42425 49635 59395 69489 76365 82725 106911 115815 127275 178185 193025 248175 296975 347445 381825 534555 579075 890925 1737225 1871791 2672775 5615373 9358955 13102537 16846119 28076865 39307611 46794775 65512685 84230595 117922833 140384325 196538055 327563425 421152975 589614165 982690275 2948070825