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25300828 = 22717232311
BaseRepresentation
bin110000010000…
…0111101011100
31202121102012201
41200200331130
522434111303
62302141244
7425024230
oct140407534
952542181
1025300828
1113310983
128581824
13531b107
1435085c0
15234b81d
hex1820f5c

25300828 has 48 divisors (see below), whose sum is σ = 55931904. Its totient is φ = 9757440.

The previous prime is 25300823. The next prime is 25300829. The reversal of 25300828 is 82800352.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 25300796 and 25300805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25300823) 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 15 ways as a sum of consecutive naturals, for example, 9793 + ... + 12103.

It is an arithmetic number, because the mean of its divisors is an integer number (1165248).

Almost surely, 225300828 is an apocalyptic number.

25300828 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 25300828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965952).

25300828 is an abundant number, since it is smaller than the sum of its proper divisors (30631076).

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

25300828 is a wasteful number, since it uses less digits than its factorization.

25300828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 25300828 is about 5029.9928429373. The cubic root of 25300828 is about 293.5699359416.

The spelling of 25300828 in words is "twenty-five million, three hundred thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2311 2737 4622 5474 9244 10948 16177 32354 39287 53153 64708 78574 106306 157148 212612 275009 372071 550018 744142 903601 1100036 1488284 1807202 3614404 6325207 12650414 25300828