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1138823424 = 2832494281
BaseRepresentation
bin100001111100001…
…0001000100000000
32221100220020001100
41003320101010000
54313014322144
6305000534400
740135560624
oct10370210400
92840806040
101138823424
11534921992
12279481400
13151c24b1b
14ab367184
1569ea4269
hex43e11100

1138823424 has 54 divisors (see below), whose sum is σ = 3283515326. Its totient is φ = 379607040.

The previous prime is 1138823423. The next prime is 1138823437. The reversal of 1138823424 is 4243288311.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 943718400 + 195105024 = 30720^2 + 13968^2 .

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 (1138823423) 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, 244837 + ... + 249444.

Almost surely, 21138823424 is an apocalyptic number.

It is an amenable number.

1138823424 is an abundant number, since it is smaller than the sum of its proper divisors (2144691902).

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

1138823424 is an equidigital number, since it uses as much as digits as its factorization.

1138823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494303 (or 494286 counting only the distinct ones).

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

The square root of 1138823424 is about 33746.4579474646. The cubic root of 1138823424 is about 1044.2844162781.

The spelling of 1138823424 in words is "one billion, one hundred thirty-eight million, eight hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 494281 988562 1482843 1977124 2965686 3954248 4448529 5931372 7908496 8897058 11862744 15816992 17794116 23725488 31633984 35588232 47450976 63267968 71176464 94901952 126535936 142352928 189803904 284705856 379607808 569411712 1138823424