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1933380045 = 325149288349
BaseRepresentation
bin111001100111101…
…0000100111001101
311222201222212211100
41303033100213031
512424421130140
6515503013313
765624313342
oct16317204715
94881885740
101933380045
11902385053
1245b59a239
1324a72017c
14144ab67c9
15b4b03530
hex733d09cd

1933380045 has 24 divisors (see below), whose sum is σ = 3373695000. Its totient is φ = 1024212096.

The previous prime is 1933380037. The next prime is 1933380067. The reversal of 1933380045 is 5400833391.

It can be written as a sum of positive squares in 4 ways, for example, as 12574116 + 1920805929 = 3546^2 + 43827^2 .

It is not a de Polignac number, because 1933380045 - 23 = 1933380037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1933379991 and 1933380009.

It is a congruent number.

It is an unprimeable number.

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, 137470 + ... + 150879.

It is an arithmetic number, because the mean of its divisors is an integer number (140570625).

Almost surely, 21933380045 is an apocalyptic number.

1933380045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1933380045 is a deficient number, since it is larger than the sum of its proper divisors (1440314955).

1933380045 is a wasteful number, since it uses less digits than its factorization.

1933380045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288509 (or 288506 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1933380045 is about 43970.2177047146. The cubic root of 1933380045 is about 1245.7734681832.

The spelling of 1933380045 in words is "one billion, nine hundred thirty-three million, three hundred eighty thousand, forty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 288349 865047 1441745 2595141 4325235 12975705 42964001 128892003 214820005 386676009 644460015 1933380045