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11493288 = 2332159629
BaseRepresentation
bin101011110101…
…111110101000
3210121220211100
4223311332220
510420241123
61050201400
7166456062
oct53657650
923556740
1011493288
116540094
123a23260
1324c5481
141752732
151020643
hexaf5fa8

11493288 has 24 divisors (see below), whose sum is σ = 31127850. Its totient is φ = 3831072.

The previous prime is 11493283. The next prime is 11493289. The reversal of 11493288 is 88239411.

It can be written as a sum of positive squares in only one way, i.e., 6749604 + 4743684 = 2598^2 + 2178^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 not an unprimeable number, because it can be changed into a prime (11493283) 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, 79743 + ... + 79886.

Almost surely, 211493288 is an apocalyptic number.

11493288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11493288 is an abundant number, since it is smaller than the sum of its proper divisors (19634562).

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

11493288 is a wasteful number, since it uses less digits than its factorization.

11493288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159641 (or 159634 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11493288 is about 3390.1752167108. The cubic root of 11493288 is about 225.6739496520.

It can be divided in two parts, 11493 and 288, that added together give a triangular number (11781 = T153).

The spelling of 11493288 in words is "eleven million, four hundred ninety-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 159629 319258 478887 638516 957774 1277032 1436661 1915548 2873322 3831096 5746644 11493288