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25790112 = 2532149601
BaseRepresentation
bin110001001100…
…0011010100000
31210112021101100
41202120122200
523100240422
62320434400
7432132555
oct142303240
953467340
1025790112
1113615547
128778a00
13545ca2a
1435d4a2c
1523e67ac
hex18986a0

25790112 has 72 divisors (see below), whose sum is σ = 73955700. Its totient is φ = 8524800.

The previous prime is 25790099. The next prime is 25790119. The reversal of 25790112 is 21109752.

Adding to 25790112 its reverse (21109752), we get a palindrome (46899864).

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 24336 = 5076^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25790119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42612 + ... + 43212.

Almost surely, 225790112 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 25790112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36977850).

25790112 is an abundant number, since it is smaller than the sum of its proper divisors (48165588).

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

25790112 is a wasteful number, since it uses less digits than its factorization.

25790112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 25790112 is about 5078.3965973524. The cubic root of 25790112 is about 295.4502823756.

The spelling of 25790112 in words is "twenty-five million, seven hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 601 894 1192 1202 1341 1788 1803 2384 2404 2682 3576 3606 4768 4808 5364 5409 7152 7212 9616 10728 10818 14304 14424 19232 21456 21636 28848 42912 43272 57696 86544 89549 173088 179098 268647 358196 537294 716392 805941 1074588 1432784 1611882 2149176 2865568 3223764 4298352 6447528 8596704 12895056 25790112