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25290048 = 263731607
BaseRepresentation
bin110000001111…
…0010101000000
31202120212102110
41200132111000
522433240143
62302015320
7424650630
oct140362500
952525373
1025290048
1113303873
128577540
135316234
1435046c0
152348533
hex181e540

25290048 has 112 divisors (see below), whose sum is σ = 79069184. Its totient is φ = 6981120.

The previous prime is 25290043. The next prime is 25290061. The reversal of 25290048 is 84009252.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 25289997 and 25290024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25290043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41361 + ... + 41967.

Almost surely, 225290048 is an apocalyptic number.

25290048 is a gapful number since it is divisible by the number (28) 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 25290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39534592).

25290048 is an abundant number, since it is smaller than the sum of its proper divisors (53779136).

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

25290048 is a wasteful number, since it uses less digits than its factorization.

25290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 25290048 is about 5028.9211566697. The cubic root of 25290048 is about 293.5282359430.

The spelling of 25290048 in words is "twenty-five million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 607 651 672 744 868 992 1214 1302 1344 1488 1736 1821 1984 2428 2604 2976 3472 3642 4249 4856 5208 5952 6944 7284 8498 9712 10416 12747 13888 14568 16996 18817 19424 20832 25494 29136 33992 37634 38848 41664 50988 56451 58272 67984 75268 101976 112902 116544 131719 135968 150536 203952 225804 263438 271936 301072 395157 407904 451608 526876 602144 790314 815808 903216 1053752 1204288 1580628 1806432 2107504 3161256 3612864 4215008 6322512 8430016 12645024 25290048