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13268448 = 25345119
BaseRepresentation
bin110010100111…
…010111100000
3220222002220000
4302213113200
511344042243
61152220000
7220531344
oct62472740
926862800
1013268448
117542866
12453a600
13299746b
141a95624
1512715d3
hexca75e0

13268448 has 60 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 4421952.

The previous prime is 13268443. The next prime is 13268491. The reversal of 13268448 is 84486231.

13268448 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13268443) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33 + ... + 5151.

It is an arithmetic number, because the mean of its divisors is an integer number (650496).

Almost surely, 213268448 is an apocalyptic number.

13268448 is a gapful number since it is divisible by the number (18) 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 13268448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

13268448 is an abundant number, since it is smaller than the sum of its proper divisors (25761312).

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

13268448 is an equidigital number, since it uses as much as digits as its factorization.

13268448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5124 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13268448 is about 3642.5880909046. The cubic root of 13268448 is about 236.7409443066.

The spelling of 13268448 in words is "thirteen million, two hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5119 10238 15357 20476 30714 40952 46071 61428 81904 92142 122856 138213 163808 184284 245712 276426 368568 414639 491424 552852 737136 829278 1105704 1474272 1658556 2211408 3317112 4422816 6634224 13268448