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1053813332 = 2211132337907
BaseRepresentation
bin111110110011111…
…110101001010100
32201102221021010102
4332303332221110
54124234011312
6252322513232
735054160035
oct7663765124
92642837112
101053813332
114a0939610
12254b05818
1313a42c1b0
149dd58a8c
15627b0ec2
hex3ecfea54

1053813332 has 48 divisors (see below), whose sum is σ = 2176155072. Its totient is φ = 440206080.

The previous prime is 1053813331. The next prime is 1053813347. The reversal of 1053813332 is 2333183501.

It is a super-2 number, since 2×10538133322 = 2221045077401884448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053813295 and 1053813304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053813331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129323 + ... + 137229.

It is an arithmetic number, because the mean of its divisors is an integer number (45336564).

Almost surely, 21053813332 is an apocalyptic number.

It is an amenable number.

1053813332 is an abundant number, since it is smaller than the sum of its proper divisors (1122341740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053813332 is a wasteful number, since it uses less digits than its factorization.

1053813332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 1053813332 is about 32462.4911551778. The cubic root of 1053813332 is about 1017.6253009911.

Adding to 1053813332 its reverse (2333183501), we get a palindrome (3386996833).

The spelling of 1053813332 in words is "one billion, fifty-three million, eight hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 233 286 466 572 932 2563 3029 5126 6058 7907 10252 12116 15814 31628 33319 66638 86977 102791 133276 173954 205582 347908 411164 1130701 1842331 2261402 3684662 4522804 7369324 20265641 23950303 40531282 47900606 81062564 95801212 263453333 526906666 1053813332