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25299252 = 223211292203
BaseRepresentation
bin110000010000…
…0100100110100
31202121100001100
41200200210310
522434034002
62302130100
7425016516
oct140404464
952540040
1025299252
111330a780
128580930
13531a494
143507bb6
15234b11c
hex1820934

25299252 has 72 divisors (see below), whose sum is σ = 72203040. Its totient is φ = 7398720.

The previous prime is 25299221. The next prime is 25299257.

25299252 is nontrivially palindromic in base 10.

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 (25299257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10383 + ... + 12585.

It is an arithmetic number, because the mean of its divisors is an integer number (1002820).

Almost surely, 225299252 is an apocalyptic number.

25299252 is a gapful number since it is divisible by the number (22) 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 25299252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36101520).

25299252 is an abundant number, since it is smaller than the sum of its proper divisors (46903788).

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

25299252 is a wasteful number, since it uses less digits than its factorization.

25299252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2248 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 25299252 is about 5029.8361802349. The cubic root of 25299252 is about 293.5638402804.

It can be divided in two parts, 2529 and 9252, that added together give a triangular number (11781 = T153).

The spelling of 25299252 in words is "twenty-five million, two hundred ninety-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2203 2871 3828 4406 5742 6609 8812 11484 13218 19827 24233 26436 39654 48466 63887 72699 79308 96932 127774 145398 191661 218097 255548 290796 383322 436194 574983 702757 766644 872388 1149966 1405514 2108271 2299932 2811028 4216542 6324813 8433084 12649626 25299252