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25106016 = 2531320117
BaseRepresentation
bin101111111000…
…1011001100000
31202020111222110
41133301121200
522411343031
62254035320
7423253245
oct137613140
952214873
1025106016
1113198581
1284a8b40
135280540
1434975cc
15230dc46
hex17f1660

25106016 has 48 divisors (see below), whose sum is σ = 70976304. Its totient is φ = 7724544.

The previous prime is 25105999. The next prime is 25106051. The reversal of 25106016 is 61060152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 25105983 and 25106001.

It is a congruent number.

It is an unprimeable number.

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, 8811 + ... + 11306.

It is an arithmetic number, because the mean of its divisors is an integer number (1478673).

Almost surely, 225106016 is an apocalyptic number.

25106016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

25106016 is an abundant number, since it is smaller than the sum of its proper divisors (45870288).

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

25106016 is a wasteful number, since it uses less digits than its factorization.

25106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20143 (or 20135 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 25106016 is about 5010.5903843759. The cubic root of 25106016 is about 292.8145144944.

Adding to 25106016 its reverse (61060152), we get a palindrome (86166168).

The spelling of 25106016 in words is "twenty-five million, one hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 20117 40234 60351 80468 120702 160936 241404 261521 321872 482808 523042 643744 784563 965616 1046084 1569126 1931232 2092168 3138252 4184336 6276504 8368672 12553008 25106016