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1053764289 = 33337115811
BaseRepresentation
bin111110110011110…
…010101011000001
32201102211202212000
4332303302223001
54124230424124
6252321454213
735053564044
oct7663625301
92642752760
101053764289
114a0905786
12254aa1369
1313a412a86
149dd44c5b
15627a16c9
hex3ecf2ac1

1053764289 has 16 divisors (see below), whose sum is σ = 1565778240. Its totient is φ = 700418880.

The previous prime is 1053764287. The next prime is 1053764293. The reversal of 1053764289 is 9824673501.

1053764289 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1053764289 - 21 = 1053764287 is a prime.

It is a super-2 number, since 2×10537642892 = 2220838353543351042, which contains 22 as substring.

1053764289 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1053764281) 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 15 ways as a sum of consecutive naturals, for example, 48807 + ... + 67004.

It is an arithmetic number, because the mean of its divisors is an integer number (97861140).

It is a 1-persistent number, because it is pandigital, but 2⋅1053764289 = 2107528578 is not.

Almost surely, 21053764289 is an apocalyptic number.

It is an amenable number.

1053764289 is a deficient number, since it is larger than the sum of its proper divisors (512013951).

1053764289 is a wasteful number, since it uses less digits than its factorization.

1053764289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116157 (or 116151 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1053764289 is about 32461.7357668995. The cubic root of 1053764289 is about 1017.6095144597.

The spelling of 1053764289 in words is "one billion, fifty-three million, seven hundred sixty-four thousand, two hundred eighty-nine".

Divisors: 1 3 9 27 337 1011 3033 9099 115811 347433 1042299 3126897 39028307 117084921 351254763 1053764289