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25250680 = 2357213991
BaseRepresentation
bin110000001010…
…0101101111000
31202111212102101
41200110231320
522431010210
62301113144
7424425100
oct140245570
952455371
1025250680
1113287234
1285587b4
135301340
1434d4200
15233ba3a
hex1814b78

25250680 has 96 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 7983360.

The previous prime is 25250671. The next prime is 25250681. The reversal of 25250680 is 8605252.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25250681) 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 23 ways as a sum of consecutive naturals, for example, 24985 + ... + 25975.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 225250680 is an apocalyptic number.

25250680 is a gapful number since it is divisible by the number (20) 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 25250680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

25250680 is an abundant number, since it is smaller than the sum of its proper divisors (45994760).

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

25250680 is a wasteful number, since it uses less digits than its factorization.

25250680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 25250680 is about 5025.0054726338. The cubic root of 25250680 is about 293.3758489798.

The spelling of 25250680 in words is "twenty-five million, two hundred fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 991 1274 1820 1960 1982 2548 3185 3640 3964 4955 5096 6370 6937 7928 9910 12740 12883 13874 19820 25480 25766 27748 34685 39640 48559 51532 55496 64415 69370 90181 97118 103064 128830 138740 180362 194236 242795 257660 277480 360724 388472 450905 485590 515320 631267 721448 901810 971180 1262534 1803620 1942360 2525068 3156335 3607240 5050136 6312670 12625340 25250680