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25640472 = 233111331241
BaseRepresentation
bin110000111001…
…1111000011000
31210020200010010
41201303320120
523030443342
62313321520
7430640364
oct141637030
953220103
1025640472
1113523080
1287062a0
1354098a0
1435962a4
1523b729c
hex1873e18

25640472 has 128 divisors (see below), whose sum is σ = 78059520. Its totient is φ = 6912000.

The previous prime is 25640467. The next prime is 25640479. The reversal of 25640472 is 27404652.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25640479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106272 + ... + 106512.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 225640472 is an apocalyptic number.

25640472 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 25640472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

25640472 is an abundant number, since it is smaller than the sum of its proper divisors (52419048).

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

25640472 is a wasteful number, since it uses less digits than its factorization.

25640472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 25640472 is about 5063.6421674522. The cubic root of 25640472 is about 294.8777507445.

The spelling of 25640472 in words is "twenty-five million, six hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 241 248 264 286 312 341 372 403 429 482 572 682 723 744 806 858 964 1023 1144 1209 1364 1446 1612 1716 1928 2046 2418 2651 2728 2892 3133 3224 3432 4092 4433 4836 5302 5784 6266 7471 7953 8184 8866 9399 9672 10604 12532 13299 14942 15906 17732 18798 21208 22413 25064 26598 29884 31812 34463 35464 37596 44826 53196 59768 63624 68926 75192 82181 89652 97123 103389 106392 137852 164362 179304 194246 206778 246543 275704 291369 328724 388492 413556 493086 582738 657448 776984 827112 986172 1068353 1165476 1972344 2136706 2330952 3205059 4273412 6410118 8546824 12820236 25640472