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25272240 = 243573307
BaseRepresentation
bin110000001100…
…1111110110000
31202112221222220
41200121332300
522432202430
62301401040
7424545000
oct140317660
952487886
1025272240
11132a1454
128569180
13530b0b6
1434dc000
152343110
hex1819fb0

25272240 has 160 divisors (see below), whose sum is σ = 91660800. Its totient is φ = 5757696.

The previous prime is 25272227. The next prime is 25272241. The reversal of 25272240 is 4227252.

It is a super-2 number, since 2×252722402 = 1277372229235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25272240.

It is not an unprimeable number, because it can be changed into a prime (25272241) 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, 82167 + ... + 82473.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 225272240 is an apocalyptic number.

25272240 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 25272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400).

25272240 is an abundant number, since it is smaller than the sum of its proper divisors (66388560).

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

25272240 is a wasteful number, since it uses less digits than its factorization.

25272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 25272240 is about 5027.1502861959. The cubic root of 25272240 is about 293.4593237474.

Adding to 25272240 its reverse (4227252), we get a palindrome (29499492).

The spelling of 25272240 in words is "twenty-five million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 307 336 343 392 420 490 560 588 614 686 735 784 840 921 980 1029 1176 1228 1372 1470 1535 1680 1715 1842 1960 2058 2149 2352 2456 2744 2940 3070 3430 3684 3920 4116 4298 4605 4912 5145 5488 5880 6140 6447 6860 7368 8232 8596 9210 10290 10745 11760 12280 12894 13720 14736 15043 16464 17192 18420 20580 21490 24560 25788 27440 30086 32235 34384 36840 41160 42980 45129 51576 60172 64470 73680 75215 82320 85960 90258 103152 105301 120344 128940 150430 171920 180516 210602 225645 240688 257880 300860 315903 361032 421204 451290 515760 526505 601720 631806 722064 842408 902580 1053010 1203440 1263612 1579515 1684816 1805160 2106020 2527224 3159030 3610320 4212040 5054448 6318060 8424080 12636120 25272240