Search a number
-
+
2079079842 = 237438091423
BaseRepresentation
bin111101111101100…
…0011110110100010
312100220011012101010
41323323003312202
513224221023332
6542145521350
7102343613160
oct17373036642
95326135333
102079079842
1197764a504
124a0343256
13271974978
1415a1a2230
15c27d39cc
hex7bec3da2

2079079842 has 64 divisors (see below), whose sum is σ = 4872130560. Its totient is φ = 579083904.

The previous prime is 2079079841. The next prime is 2079079853. The reversal of 2079079842 is 2489709702.

It is a junction number, because it is equal to n+sod(n) for n = 2079079791 and 2079079800.

It is not an unprimeable number, because it can be changed into a prime (2079079841) 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 31 ways as a sum of consecutive naturals, for example, 1460343 + ... + 1461765.

It is an arithmetic number, because the mean of its divisors is an integer number (76127040).

Almost surely, 22079079842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079079842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436065280).

2079079842 is an abundant number, since it is smaller than the sum of its proper divisors (2793050718).

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

2079079842 is a wasteful number, since it uses less digits than its factorization.

2079079842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287.

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 2079079842 is about 45596.9279886266. The cubic root of 2079079842 is about 1276.3125976364.

The spelling of 2079079842 in words is "two billion, seventy-nine million, seventy-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 809 903 1423 1618 1806 2427 2846 4269 4854 5663 8538 9961 11326 16989 19922 29883 33978 34787 59766 61189 69574 104361 122378 183567 208722 243509 367134 428323 487018 730527 856646 1151207 1284969 1461054 2302414 2569938 3453621 6907242 8058449 16116898 24175347 48350694 49501901 99003802 148505703 297011406 346513307 693026614 1039539921 2079079842