Search a number
-
+
2045029284 = 223275372
BaseRepresentation
bin111100111100100…
…1010101110100100
312021112002020210100
41321321022232210
513142011414114
6534532024100
7101451314334
oct17171125644
95245066710
102045029284
1195a402851
12490a62030
132678b20cc
1415585b0c4
15be809909
hex79e4aba4

2045029284 has 27 divisors (see below), whose sum is σ = 5170065537. Its totient is φ = 681585984.

The previous prime is 2045029249. The next prime is 2045029309. The reversal of 2045029284 is 4829205402.

The square root of 2045029284 is 45222.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 880308900 + 1164720384 = 29670^2 + 34128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 8 ways as a sum of consecutive naturals, for example, 267564 + ... + 275100.

Almost surely, 22045029284 is an apocalyptic number.

2045029284 is the 45222-nd square number.

It is an amenable number.

2045029284 is an abundant number, since it is smaller than the sum of its proper divisors (3125036253).

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

2045029284 is an frugal number, since it uses more digits than its factorization.

2045029284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15084 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 2045029284 is about 1269.3065187018.

Multiplying 2045029284 by its sum of digits (36), we get a square (73621054224 = 2713322).

2045029284 divided by its sum of digits (36) gives a square (56806369 = 75372).

The spelling of 2045029284 in words is "two billion, forty-five million, twenty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7537 15074 22611 30148 45222 67833 90444 135666 271332 56806369 113612738 170419107 227225476 340838214 511257321 681676428 1022514642 2045029284