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1055006433 = 321326933521
BaseRepresentation
bin111110111000100…
…001111011100001
32201112011212202100
4332320201323201
54130040201213
6252404241013
735100256335
oct7670417341
92645155670
101055006433
114a1583a48
122553a0169
1313a759280
14a01897c5
1562949773
hex3ee21ee1

1055006433 has 24 divisors (see below), whose sum is σ = 1647271080. Its totient is φ = 646801920.

The previous prime is 1055006431. The next prime is 1055006441. The reversal of 1055006433 is 3346005501.

1055006433 is a `hidden beast` number, since 10 + 5 + 5 + 0 + 0 + 643 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34012224 + 1020994209 = 5832^2 + 31953^2 .

It is not a de Polignac number, because 1055006433 - 21 = 1055006431 is a prime.

It is a super-2 number, since 2×10550064332 = 2226077147342766978, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1055006397 and 1055006406.

It is not an unprimeable number, because it can be changed into a prime (1055006431) 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 23 ways as a sum of consecutive naturals, for example, 14713 + ... + 48233.

It is an arithmetic number, because the mean of its divisors is an integer number (68636295).

Almost surely, 21055006433 is an apocalyptic number.

1055006433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1055006433 is a deficient number, since it is larger than the sum of its proper divisors (592264647).

1055006433 is a wasteful number, since it uses less digits than its factorization.

1055006433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33809 (or 33806 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1055006433 is about 32480.8625655169. The cubic root of 1055006433 is about 1018.0091994208.

The spelling of 1055006433 in words is "one billion, fifty-five million, six thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 117 269 807 2421 3497 10491 31473 33521 100563 301689 435773 1307319 3921957 9017149 27051447 81154341 117222937 351668811 1055006433