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1625384864 = 25435920021
BaseRepresentation
bin110000011100001…
…0110011110100000
311012021110002212102
41200320112132200
511312044303424
6425141345532
755164354245
oct14070263640
94167402772
101625384864
1176453a784
123944082a8
131cb9831bc
14115c215cc
1597a657ae
hex60e167a0

1625384864 has 48 divisors (see below), whose sum is σ = 3330059040. Its totient is φ = 780299520.

The previous prime is 1625384863. The next prime is 1625384869. The reversal of 1625384864 is 4684835261.

It is a super-2 number, since 2×16253848642 = 5283751912240596992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1625384863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71174 + ... + 91194.

It is an arithmetic number, because the mean of its divisors is an integer number (69376230).

Almost surely, 21625384864 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 1625384864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665029520).

1625384864 is an abundant number, since it is smaller than the sum of its proper divisors (1704674176).

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

1625384864 is a wasteful number, since it uses less digits than its factorization.

1625384864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20133 (or 20125 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The square root of 1625384864 is about 40316.0621092884. The cubic root of 1625384864 is about 1175.7601513107.

The spelling of 1625384864 in words is "one billion, six hundred twenty-five million, three hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 59 86 118 172 236 344 472 688 944 1376 1888 2537 5074 10148 20021 20296 40042 40592 80084 81184 160168 320336 640672 860903 1181239 1721806 2362478 3443612 4724956 6887224 9449912 13774448 18899824 27548896 37799648 50793277 101586554 203173108 406346216 812692432 1625384864