Search a number
-
+
2038391388 = 22321125720029
BaseRepresentation
bin111100101111111…
…0110001001011100
312021001121000022100
41321133312021130
513133312011023
6534133445100
7101341020015
oct17137661134
95231530270
102038391388
11956689690
1248a7a0790
132663c9967
14154a1000c
15bde47c43
hex797f625c

2038391388 has 72 divisors (see below), whose sum is σ = 5643172080. Its totient is φ = 615260160.

The previous prime is 2038391351. The next prime is 2038391389. The reversal of 2038391388 is 8831938302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038391389) 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 23 ways as a sum of consecutive naturals, for example, 91758 + ... + 111786.

It is an arithmetic number, because the mean of its divisors is an integer number (78377390).

Almost surely, 22038391388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038391388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821586040).

2038391388 is an abundant number, since it is smaller than the sum of its proper divisors (3604780692).

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

2038391388 is a wasteful number, since it uses less digits than its factorization.

2038391388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307 (or 20302 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2038391388 is about 45148.5480165199. The cubic root of 2038391388 is about 1267.9316961419.

The spelling of 2038391388 in words is "two billion, thirty-eight million, three hundred ninety-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 257 396 514 771 1028 1542 2313 2827 3084 4626 5654 8481 9252 11308 16962 20029 25443 33924 40058 50886 60087 80116 101772 120174 180261 220319 240348 360522 440638 660957 721044 881276 1321914 1982871 2643828 3965742 5147453 7931484 10294906 15442359 20589812 30884718 46327077 56621983 61769436 92654154 113243966 169865949 185308308 226487932 339731898 509597847 679463796 1019195694 2038391388