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25080064 = 283132
BaseRepresentation
bin101111110101…
…1000100000000
31202012012101021
41133223010000
522410030224
62253315224
7423114502
oct137530400
952165337
1025080064
1113180029
128495b14
135271799
14348bd72
1523061e4
hex17eb100

25080064 has 27 divisors (see below), whose sum is σ = 50222613. Its totient is φ = 12499968.

The previous prime is 25080059. The next prime is 25080067. The reversal of 25080064 is 46008052.

The square root of 25080064 is 5008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 24920064 = 400^2 + 4992^2 .

It is a super-2 number, since 2×250800642 = 1258019220488192, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25080067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 79972 + ... + 80284.

Almost surely, 225080064 is an apocalyptic number.

25080064 is the 5008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25080064

25080064 is an abundant number, since it is smaller than the sum of its proper divisors (25142549).

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

25080064 is an frugal number, since it uses more digits than its factorization.

25080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 25080064 is about 292.7135859337.

Multiplying 25080064 by its sum of digits (25), we get a square (627001600 = 250402).

The spelling of 25080064 in words is "twenty-five million, eighty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 313 626 1252 2504 5008 10016 20032 40064 80128 97969 195938 391876 783752 1567504 3135008 6270016 12540032 25080064