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1039418393 = 13372160953
BaseRepresentation
bin111101111101000…
…100010000011001
32200102211220222112
4331331010100121
54112042342033
6251050202105
734520624216
oct7575042031
92612756875
101039418393
114937a7472
12250123335
1313745c090
149c08cb0d
15613bac48
hex3df44419

1039418393 has 8 divisors (see below), whose sum is σ = 1149627528. Its totient is φ = 933531264.

The previous prime is 1039418363. The next prime is 1039418417. The reversal of 1039418393 is 3938149301.

1039418393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 498762889 + 540655504 = 22333^2 + 23252^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1039418393 is a prime.

It is a super-3 number, since 3×10394183933 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1039418393.

It is not an unprimeable number, because it can be changed into a prime (1039418333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1079996 + ... + 1080957.

It is an arithmetic number, because the mean of its divisors is an integer number (143703441).

Almost surely, 21039418393 is an apocalyptic number.

1039418393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1039418393 is a deficient number, since it is larger than the sum of its proper divisors (110209135).

1039418393 is a wasteful number, since it uses less digits than its factorization.

1039418393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161003.

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 1039418393 is about 32240.0122983848. The cubic root of 1039418393 is about 1012.9705030250.

The spelling of 1039418393 in words is "one billion, thirty-nine million, four hundred eighteen thousand, three hundred ninety-three".

Divisors: 1 13 37 481 2160953 28092389 79955261 1039418393