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264486112 = 25115314177
BaseRepresentation
bin11111100001110…
…11110011100000
3200102200021201221
433300323303200
51020202023422
642124504424
76361044352
oct1760736340
9612607657
10264486112
11126328370
12746ab114
1342a45177
14271ab0d2
15183463c7
hexfc3bce0

264486112 has 48 divisors (see below), whose sum is σ = 578802672. Its totient is φ = 117944320.

The previous prime is 264486109. The next prime is 264486113. The reversal of 264486112 is 211684462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264486113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11568 + ... + 25744.

It is an arithmetic number, because the mean of its divisors is an integer number (12058389).

Almost surely, 2264486112 is an apocalyptic number.

264486112 is a gapful number since it is divisible by the number (22) 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 264486112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289401336).

264486112 is an abundant number, since it is smaller than the sum of its proper divisors (314316560).

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

264486112 is a wasteful number, since it uses less digits than its factorization.

264486112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14251 (or 14243 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 264486112 is about 16263.0289921650. The cubic root of 264486112 is about 641.9003672342.

The spelling of 264486112 in words is "two hundred sixty-four million, four hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 14177 18656 28354 56708 113416 155947 226832 311894 453664 623788 751381 1247576 1502762 2495152 3005524 4990304 6011048 8265191 12022096 16530382 24044192 33060764 66121528 132243056 264486112