Search a number
-
+
25215264 = 253287553
BaseRepresentation
bin110000000110…
…0000100100000
31202110001211200
41200030010200
522423342024
62300241200
7424216614
oct140140440
952401750
1025215264
1113262668
128540200
1352bb199
1434c5344
1523312c9
hex180c120

25215264 has 36 divisors (see below), whose sum is σ = 71706726. Its totient is φ = 8404992.

The previous prime is 25215263. The next prime is 25215271. The reversal of 25215264 is 46251252.

It can be written as a sum of positive squares in only one way, i.e., 18558864 + 6656400 = 4308^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (25215263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43489 + ... + 44064.

Almost surely, 225215264 is an apocalyptic number.

25215264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25215264 is an abundant number, since it is smaller than the sum of its proper divisors (46491462).

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

25215264 is a wasteful number, since it uses less digits than its factorization.

25215264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87569 (or 87558 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 25215264 is about 5021.4802598437. The cubic root of 25215264 is about 293.2386241534.

The spelling of 25215264 in words is "twenty-five million, two hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 87553 175106 262659 350212 525318 700424 787977 1050636 1400848 1575954 2101272 2801696 3151908 4202544 6303816 8405088 12607632 25215264