Search a number
-
+
25485264 = 24327131193
BaseRepresentation
bin110000100110…
…1111111010000
31202221210012200
41201031333100
523011012024
62310123200
7426423030
oct141157720
952853180
1025485264
1113427502
128650500
13538404c
1435558c0
1523862c9
hex184dfd0

25485264 has 120 divisors (see below), whose sum is σ = 82560192. Its totient is φ = 7188480.

The previous prime is 25485263. The next prime is 25485269. The reversal of 25485264 is 46258452.

It is a happy number.

25485264 is a `hidden beast` number, since 2 + 548 + 52 + 64 = 666.

It is a super-2 number, since 2×254852642 = 1298997362299392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25485263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131952 + ... + 132144.

Almost surely, 225485264 is an apocalyptic number.

25485264 is a gapful number since it is divisible by the number (24) 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 25485264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41280096).

25485264 is an abundant number, since it is smaller than the sum of its proper divisors (57074928).

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

25485264 is a wasteful number, since it uses less digits than its factorization.

25485264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 25485264 is about 5048.2931769064. The cubic root of 25485264 is about 294.2815572893.

The spelling of 25485264 in words is "twenty-five million, four hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 131 144 168 193 252 262 336 386 393 504 524 579 772 786 917 1008 1048 1158 1179 1351 1544 1572 1737 1834 2096 2316 2358 2702 2751 3088 3144 3474 3668 4053 4632 4716 5404 5502 6288 6948 7336 8106 8253 9264 9432 10808 11004 12159 13896 14672 16212 16506 18864 21616 22008 24318 25283 27792 32424 33012 44016 48636 50566 64848 66024 75849 97272 101132 132048 151698 176981 194544 202264 227547 303396 353962 404528 455094 530943 606792 707924 910188 1061886 1213584 1415848 1592829 1820376 2123772 2831696 3185658 3640752 4247544 6371316 8495088 12742632 25485264