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25700328 = 2334172333
BaseRepresentation
bin110001000001…
…0011111101000
31210100201020000
41202002133220
523034402303
62314503000
7431310033
oct142023750
953321200
1025700328
1113564045
128734a60
13542abc4
1435b001a
1523c9da3
hex18827e8

25700328 has 80 divisors (see below), whose sum is σ = 76251780. Its totient is φ = 8059392.

The previous prime is 25700327. The next prime is 25700393. The reversal of 25700328 is 82300752.

It can be written as a sum of positive squares in 2 ways, for example, as 25583364 + 116964 = 5058^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25700321) 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 19 ways as a sum of consecutive naturals, for example, 9850 + ... + 12182.

Almost surely, 225700328 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 25700328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38125890).

25700328 is an abundant number, since it is smaller than the sum of its proper divisors (50551452).

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

25700328 is a wasteful number, since it uses less digits than its factorization.

25700328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 25700328 is about 5069.5490923750. The cubic root of 25700328 is about 295.1070300133.

The spelling of 25700328 in words is "twenty-five million, seven hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2333 2754 3672 4666 5508 6999 9332 11016 13998 18664 20997 27996 39661 41994 55992 62991 79322 83988 118983 125982 158644 167976 188973 237966 251964 317288 356949 377946 475932 503928 713898 755892 951864 1070847 1427796 1511784 2141694 2855592 3212541 4283388 6425082 8566776 12850164 25700328