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11438928 = 243326479
BaseRepresentation
bin101011101000…
…101101010000
3210112011021000
4223220231100
510412021203
61045102000
7166141434
oct53505520
923464230
1011438928
116503266
1239b7900
1324a67c7
14173a9c4
15100e4a3
hexae8b50

11438928 has 40 divisors (see below), whose sum is σ = 32835200. Its totient is φ = 3812832.

The previous prime is 11438927. The next prime is 11438929. The reversal of 11438928 is 82983411.

It is an interprime number because it is at equal distance from previous prime (11438927) and next prime (11438929).

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 junction number, because it is equal to n+sod(n) for n = 11438892 and 11438901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12808 + ... + 13671.

It is an arithmetic number, because the mean of its divisors is an integer number (820880).

Almost surely, 211438928 is an apocalyptic number.

11438928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11438928 is an abundant number, since it is smaller than the sum of its proper divisors (21396272).

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

11438928 is a wasteful number, since it uses less digits than its factorization.

11438928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26496 (or 26484 counting only the distinct ones).

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

The square root of 11438928 is about 3382.1484296228. The cubic root of 11438928 is about 225.3175959349.

The spelling of 11438928 in words is "eleven million, four hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 26479 52958 79437 105916 158874 211832 238311 317748 423664 476622 635496 714933 953244 1270992 1429866 1906488 2859732 3812976 5719464 11438928