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1055023279 = 1931257781
BaseRepresentation
bin111110111000100…
…110000010101111
32201112012201212021
4332320212002233
54130041221104
6252404451011
735100356422
oct7670460257
92645181767
101055023279
114a1595672
122553a9a67
1313a763b3b
14a01919b9
156294e754
hex3ee260af

1055023279 has 12 divisors (see below), whose sum is σ = 1147550520. Its totient is φ = 967237200.

The previous prime is 1055023237. The next prime is 1055023289. The reversal of 1055023279 is 9723205501.

It is not a de Polignac number, because 1055023279 - 215 = 1054990511 is a prime.

It is a super-2 number, since 2×10550232792 = 2226148238463823682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055023289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10632 + ... + 47149.

It is an arithmetic number, because the mean of its divisors is an integer number (95629210).

Almost surely, 21055023279 is an apocalyptic number.

1055023279 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1055023279 is a deficient number, since it is larger than the sum of its proper divisors (92527241).

1055023279 is an equidigital number, since it uses as much as digits as its factorization.

1055023279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57862 (or 57831 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 1055023279 is about 32481.1218864127. The cubic root of 1055023279 is about 1018.0146178053.

The spelling of 1055023279 in words is "one billion, fifty-five million, twenty-three thousand, two hundred seventy-nine".

Divisors: 1 19 31 589 961 18259 57781 1097839 1791211 34033009 55527541 1055023279