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25364480 = 21152477
BaseRepresentation
bin110000011000…
…0100000000000
31202201122112012
41200300200000
522443130410
62303352052
7425410631
oct140604000
952648465
1025364480
1113354789
1285b2628
13534108b
143523888
152360605
hex1830800

25364480 has 48 divisors (see below), whose sum is σ = 60884460. Its totient is φ = 10141696.

The previous prime is 25364477. The next prime is 25364483. The reversal of 25364480 is 8446352.

It is an interprime number because it is at equal distance from previous prime (25364477) and next prime (25364483).

It can be written as a sum of positive squares in 2 ways, for example, as 25240576 + 123904 = 5024^2 + 352^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (25364483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9002 + ... + 11478.

Almost surely, 225364480 is an apocalyptic number.

25364480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30442230).

25364480 is an abundant number, since it is smaller than the sum of its proper divisors (35519980).

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

25364480 is an equidigital number, since it uses as much as digits as its factorization.

25364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 25364480 is about 5036.3161139865. The cubic root of 25364480 is about 293.8159182080.

The spelling of 25364480 in words is "twenty-five million, three hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2477 2560 4954 5120 9908 10240 12385 19816 24770 39632 49540 79264 99080 158528 198160 317056 396320 634112 792640 1268224 1585280 2536448 3170560 5072896 6341120 12682240 25364480