Search a number
-
+
1038478331 = 11316414751
BaseRepresentation
bin111101111001011…
…110101111111011
32200101002011110102
4331321132233323
54111322301311
6251014110015
734506630422
oct7571365773
92611064412
101038478331
11493215160
1224b94b30b
131371c0227
149bcc62b9
156128243b
hex3de5ebfb

1038478331 has 16 divisors (see below), whose sum is σ = 1171501056. Its totient is φ = 912000000.

The previous prime is 1038478327. The next prime is 1038478339. The reversal of 1038478331 is 1338748301.

It is a cyclic number.

It is not a de Polignac number, because 1038478331 - 22 = 1038478327 is a prime.

It is a super-2 number, since 2×10384783312 = 2156874487913091122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1038478339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216206 + ... + 220956.

It is an arithmetic number, because the mean of its divisors is an integer number (73218816).

Almost surely, 21038478331 is an apocalyptic number.

1038478331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1038478331 is a deficient number, since it is larger than the sum of its proper divisors (133022725).

1038478331 is a wasteful number, since it uses less digits than its factorization.

1038478331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1038478331 is about 32225.4298807634. The cubic root of 1038478331 is about 1012.6650301744.

The spelling of 1038478331 in words is "one billion, thirty-eight million, four hundred seventy-eight thousand, three hundred thirty-one".

Divisors: 1 11 31 341 641 4751 7051 19871 52261 147281 218581 1620091 3045391 33499301 94407121 1038478331