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2042400399 = 313106948989
BaseRepresentation
bin111100110111100…
…1000111010001111
312021100010200122020
41321233020322033
513140323303044
6534355421223
7101420055054
oct17157107217
95240120566
102042400399
11958977716
1248bbb4813
132671a1660
1415537502b
15be48aa19
hex79bc8e8f

2042400399 has 16 divisors (see below), whose sum is σ = 2935480800. Its totient is φ = 1255660416.

The previous prime is 2042400397. The next prime is 2042400401. The reversal of 2042400399 is 9930042402.

It is an interprime number because it is at equal distance from previous prime (2042400397) and next prime (2042400401).

It is not a de Polignac number, because 2042400399 - 21 = 2042400397 is a prime.

It is a super-3 number, since 3×20424003993 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042400397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17197 + ... + 66185.

It is an arithmetic number, because the mean of its divisors is an integer number (183467550).

Almost surely, 22042400399 is an apocalyptic number.

2042400399 is a deficient number, since it is larger than the sum of its proper divisors (893080401).

2042400399 is a wasteful number, since it uses less digits than its factorization.

2042400399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50074.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2042400399 is about 45192.9242138634. The cubic root of 2042400399 is about 1268.7623876617.

The spelling of 2042400399 in words is "two billion, forty-two million, four hundred thousand, three hundred ninety-nine".

Divisors: 1 3 13 39 1069 3207 13897 41691 48989 146967 636857 1910571 52369241 157107723 680800133 2042400399