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1742193864 = 2332171423361
BaseRepresentation
bin110011111010111…
…1100010011001000
311111102020121200200
41213311330103020
512032000200424
6444513132200
761113255255
oct14765742310
94442217620
101742193864
11814472044
1240755a060
13219c30858
1412754a42c
15a2e3a8c9
hex67d7c4c8

1742193864 has 48 divisors (see below), whose sum is σ = 4996000620. Its totient is φ = 546570240.

The previous prime is 1742193863. The next prime is 1742193883. The reversal of 1742193864 is 4683912471.

It can be written as a sum of positive squares in 2 ways, for example, as 1599200100 + 142993764 = 39990^2 + 11958^2 .

It is not an unprimeable number, because it can be changed into a prime (1742193863) 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 11 ways as a sum of consecutive naturals, for example, 710457 + ... + 712904.

Almost surely, 21742193864 is an apocalyptic number.

It is an amenable number.

1742193864 is an abundant number, since it is smaller than the sum of its proper divisors (3253806756).

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

1742193864 is a wasteful number, since it uses less digits than its factorization.

1742193864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423390 (or 1423383 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1742193864 is about 41739.5958772962. The cubic root of 1742193864 is about 1203.2766614314.

The spelling of 1742193864 in words is "one billion, seven hundred forty-two million, one hundred ninety-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1423361 2846722 4270083 5693444 8540166 11386888 12810249 17080332 24197137 25620498 34160664 48394274 51240996 72591411 96788548 102481992 145182822 193577096 217774233 290365644 435548466 580731288 871096932 1742193864