Search a number
-
+
25874080 = 255237989
BaseRepresentation
bin110001010110…
…0111010100000
31210200112120021
41202230322200
523110432310
62322323224
7432632431
oct142547240
953615507
1025874080
1113672641
1287b9514
13548c00b
143617488
1524115da
hex18acea0

25874080 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 9664512.

The previous prime is 25874077. The next prime is 25874081. The reversal of 25874080 is 8047852.

It is not an unprimeable number, because it can be changed into a prime (25874081) 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 15 ways as a sum of consecutive naturals, for example, 290676 + ... + 290764.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 225874080 is an apocalyptic number.

25874080 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 25874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

25874080 is an abundant number, since it is smaller than the sum of its proper divisors (39444320).

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

25874080 is a wasteful number, since it uses less digits than its factorization.

25874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 25874080 is about 5086.6570554737. The cubic root of 25874080 is about 295.7705794729.

The spelling of 25874080 in words is "twenty-five million, eight hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 79 80 89 92 115 158 160 178 184 230 316 356 368 395 445 460 632 712 736 790 890 920 1264 1424 1580 1780 1817 1840 2047 2528 2848 3160 3560 3634 3680 4094 6320 7031 7120 7268 8188 9085 10235 12640 14062 14240 14536 16376 18170 20470 28124 29072 32752 35155 36340 40940 56248 58144 65504 70310 72680 81880 112496 140620 145360 161713 163760 224992 281240 290720 323426 327520 562480 646852 808565 1124960 1293704 1617130 2587408 3234260 5174816 6468520 12937040 25874080