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8125082448 = 243744953857
BaseRepresentation
bin1111001000100101…
…01110101101010000
3202222020202221202120
413210102232231100
5113120010114243
63422124414240
7405230030010
oct74422565520
922866687676
108125082448
11349a44077a
1216a90a7380
139c64294c2
14571147c40
153284a6c83
hex1e44aeb50

8125082448 has 80 divisors (see below), whose sum is σ = 24042211200. Its totient is φ = 2316238848.

The previous prime is 8125082411. The next prime is 8125082467. The reversal of 8125082448 is 8442805218.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123936 + ... + 177792.

It is an arithmetic number, because the mean of its divisors is an integer number (300527640).

Almost surely, 28125082448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8125082448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021105600).

8125082448 is an abundant number, since it is smaller than the sum of its proper divisors (15917128752).

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

8125082448 is a wasteful number, since it uses less digits than its factorization.

8125082448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54324 (or 54318 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 8125082448 is about 90139.2392246573. The cubic root of 8125082448 is about 2010.3696792879.

The spelling of 8125082448 in words is "eight billion, one hundred twenty-five million, eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 449 898 1347 1796 2694 3143 3592 5388 6286 7184 9429 10776 12572 18858 21552 25144 37716 50288 53857 75432 107714 150864 161571 215428 323142 376999 430856 646284 753998 861712 1130997 1292568 1507996 2261994 2585136 3015992 4523988 6031984 9047976 18095952 24181793 48363586 72545379 96727172 145090758 169272551 193454344 290181516 338545102 386908688 507817653 580363032 677090204 1015635306 1160726064 1354180408 2031270612 2708360816 4062541224 8125082448