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38144393 = 72832113
BaseRepresentation
bin1001000110000…
…0100110001001
32122202221021022
42101200212021
534231110033
63441322225
7642136100
oct221404611
978687238
1038144393
111a5934a1
1210936375
137b97061
1450cd037
153537098
hex2460989

38144393 has 18 divisors (see below), whose sum is σ = 45310554. Its totient is φ = 32015424.

The previous prime is 38144389. The next prime is 38144411. The reversal of 38144393 is 39344183.

It can be written as a sum of positive squares in only one way, i.e., 21603904 + 16540489 = 4648^2 + 4067^2 .

It is not a de Polignac number, because 38144393 - 22 = 38144389 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38144383) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 337505 + ... + 337617.

It is an arithmetic number, because the mean of its divisors is an integer number (2517253).

Almost surely, 238144393 is an apocalyptic number.

It is an amenable number.

38144393 is a deficient number, since it is larger than the sum of its proper divisors (7166161).

38144393 is an equidigital number, since it uses as much as digits as its factorization.

38144393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 203 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 38144393 is about 6176.1147171988. The cubic root of 38144393 is about 336.6228320321.

The spelling of 38144393 in words is "thirty-eight million, one hundred forty-four thousand, three hundred ninety-three".

Divisors: 1 7 49 83 113 581 791 4067 5537 6889 9379 48223 65653 337561 459571 778457 5449199 38144393