Search a number
-
+
25389216 = 2532199443
BaseRepresentation
bin110000011011…
…0100010100000
31202202220110100
41200312202200
522444423331
62304102400
7425543016
oct140664240
952686410
1025389216
1113371326
128604a00
13534c408
14352c8b6
152367ae6
hex18368a0

25389216 has 72 divisors (see below), whose sum is σ = 72727200. Its totient is φ = 8401536.

The previous prime is 25389167. The next prime is 25389227. The reversal of 25389216 is 61298352.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×253892162 = 1289224578189312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57091 + ... + 57533.

It is an arithmetic number, because the mean of its divisors is an integer number (1010100).

Almost surely, 225389216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25389216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36363600).

25389216 is an abundant number, since it is smaller than the sum of its proper divisors (47337984).

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

25389216 is a wasteful number, since it uses less digits than its factorization.

25389216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 25389216 is about 5038.7712787941. The cubic root of 25389216 is about 293.9113990964.

The spelling of 25389216 in words is "twenty-five million, three hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 443 597 796 886 1194 1329 1592 1772 1791 2388 2658 3184 3544 3582 3987 4776 5316 6368 7088 7164 7974 9552 10632 14176 14328 15948 19104 21264 28656 31896 42528 57312 63792 88157 127584 176314 264471 352628 528942 705256 793413 1057884 1410512 1586826 2115768 2821024 3173652 4231536 6347304 8463072 12694608 25389216