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2045760249 = 313731136359
BaseRepresentation
bin111100111101111…
…1101001011111001
312021120110101111010
41321323331023321
513142203311444
6534555424133
7101460450411
oct17173751371
95246411433
102045760249
1195a861a55
12491155049
13267aa9a30
141559ab641
15be9012b9
hex79efd2f9

2045760249 has 32 divisors (see below), whose sum is σ = 3004565760. Its totient is φ = 1230501888.

The previous prime is 2045760247. The next prime is 2045760251. The reversal of 2045760249 is 9420675402.

It is an interprime number because it is at equal distance from previous prime (2045760247) and next prime (2045760251).

It is not a de Polignac number, because 2045760249 - 21 = 2045760247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2045760247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318532 + ... + 324890.

It is an arithmetic number, because the mean of its divisors is an integer number (93892680).

Almost surely, 22045760249 is an apocalyptic number.

It is an amenable number.

2045760249 is a deficient number, since it is larger than the sum of its proper divisors (958805511).

2045760249 is a wasteful number, since it uses less digits than its factorization.

2045760249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561.

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2045760249 is about 45230.0812402543. The cubic root of 2045760249 is about 1269.4577322033.

The spelling of 2045760249 in words is "two billion, forty-five million, seven hundred sixty thousand, two hundred forty-nine".

Divisors: 1 3 13 39 73 113 219 339 949 1469 2847 4407 6359 8249 19077 24747 82667 107237 248001 321711 464207 718567 1392621 2155701 6034691 9341371 18104073 28024113 52455391 157366173 681920083 2045760249