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25283952 = 2432712473
BaseRepresentation
bin110000001110…
…0110101110000
31202120120001200
41200130311300
522433041302
62301531200
7424624101
oct140346560
952516050
1025283952
11132aa231
128573b00
135313525
1435023a8
15234681c
hex181cd70

25283952 has 60 divisors (see below), whose sum is σ = 71785584. Its totient is φ = 8305920.

The previous prime is 25283939. The next prime is 25284001. The reversal of 25283952 is 25938252.

25283952 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is an unprimeable number.

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, 8988 + ... + 11460.

Almost surely, 225283952 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 25283952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35892792).

25283952 is an abundant number, since it is smaller than the sum of its proper divisors (46501632).

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

25283952 is a wasteful number, since it uses less digits than its factorization.

25283952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2549 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 25283952 is about 5028.3150259307. The cubic root of 25283952 is about 293.5046496965.

The spelling of 25283952 in words is "twenty-five million, two hundred eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2473 2556 3408 4946 5112 7419 9892 10224 14838 19784 22257 29676 39568 44514 59352 89028 118704 175583 178056 351166 356112 526749 702332 1053498 1404664 1580247 2106996 2809328 3160494 4213992 6320988 8427984 12641976 25283952