Search a number
-
+
25216840 = 23511223257
BaseRepresentation
bin110000000110…
…0011101001000
31202110011000001
41200030131020
522423414330
62300252344
7424224325
oct140143510
952404001
1025216840
1113263870
1285410b4
1352bbb0c
1434c5b4c
1523319ca
hex180c748

25216840 has 64 divisors (see below), whose sum is σ = 62415360. Its totient is φ = 9093120.

The previous prime is 25216783. The next prime is 25216843. The reversal of 25216840 is 4861252.

It is a junction number, because it is equal to n+sod(n) for n = 25216799 and 25216808.

It is not an unprimeable number, because it can be changed into a prime (25216843) 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, 97992 + ... + 98248.

It is an arithmetic number, because the mean of its divisors is an integer number (975240).

Almost surely, 225216840 is an apocalyptic number.

25216840 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 25216840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207680).

25216840 is an abundant number, since it is smaller than the sum of its proper divisors (37198520).

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

25216840 is a wasteful number, since it uses less digits than its factorization.

25216840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 25216840 is about 5021.6371832302. The cubic root of 25216840 is about 293.2447333425.

The spelling of 25216840 in words is "twenty-five million, two hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 223 257 440 446 514 892 1028 1115 1285 1784 2056 2230 2453 2570 2827 4460 4906 5140 5654 8920 9812 10280 11308 12265 14135 19624 22616 24530 28270 49060 56540 57311 98120 113080 114622 229244 286555 458488 573110 630421 1146220 1260842 2292440 2521684 3152105 5043368 6304210 12608420 25216840