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25066272 = 2537113391
BaseRepresentation
bin101111110011…
…1101100100000
31202011111110110
41133213230200
522404110042
62253131320
7423026340
oct137475440
952144413
1025066272
1113170730
128489b40
13526841a
143486d20
15230209c
hex17e7b20

25066272 has 96 divisors (see below), whose sum is σ = 82059264. Its totient is φ = 6508800.

The previous prime is 25066247. The next prime is 25066273. The reversal of 25066272 is 27266052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25066273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5697 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (854784).

Almost surely, 225066272 is an apocalyptic number.

25066272 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 25066272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41029632).

25066272 is an abundant number, since it is smaller than the sum of its proper divisors (56992992).

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

25066272 is a wasteful number, since it uses less digits than its factorization.

25066272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 25066272 is about 5006.6228138337. The cubic root of 25066272 is about 292.6599198555.

It can be divided in two parts, 2506 and 6272, that added together give a palindrome (8778).

The spelling of 25066272 in words is "twenty-five million, sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3391 3696 6782 7392 10173 13564 20346 23737 27128 37301 40692 47474 54256 71211 74602 81384 94948 108512 111903 142422 149204 162768 189896 223806 261107 284844 298408 325536 379792 447612 522214 569688 596816 759584 783321 895224 1044428 1139376 1193632 1566642 1790448 2088856 2278752 3133284 3580896 4177712 6266568 8355424 12533136 25066272