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25368048 = 24321131559
BaseRepresentation
bin110000011000…
…1010111110000
31202201211102100
41200301113300
522443234143
62303420400
7425424216
oct140612760
952654370
1025368048
1113357432
1285b4700
1353428a4
143524cb6
1523616d3
hex18315f0

25368048 has 60 divisors (see below), whose sum is σ = 71669520. Its totient is φ = 8375808.

The previous prime is 25368043. The next prime is 25368073. The reversal of 25368048 is 84086352.

25368048 is a `hidden beast` number, since 2 + 536 + 80 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25368041) 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 11 ways as a sum of consecutive naturals, for example, 15493 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (1194492).

Almost surely, 225368048 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 25368048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834760).

25368048 is an abundant number, since it is smaller than the sum of its proper divisors (46301472).

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

25368048 is a wasteful number, since it uses less digits than its factorization.

25368048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 25368048 is about 5036.6703286993. The cubic root of 25368048 is about 293.8296945079.

The spelling of 25368048 in words is "twenty-five million, three hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1559 1808 2034 2712 3118 4068 4677 5424 6236 8136 9354 12472 14031 16272 18708 24944 28062 37416 56124 74832 112248 176167 224496 352334 528501 704668 1057002 1409336 1585503 2114004 2818672 3171006 4228008 6342012 8456016 12684024 25368048