Search a number
-
+
5358403842 = 23111734713763
BaseRepresentation
bin1001111110110001…
…01100000100000010
3111211102210010012120
410333120230010002
541433222410332
62243413105110
7246533452431
oct47730540402
914742703176
105358403842
1122aa752130
121056628196
13675197c7c
1438b919118
1521565032c
hex13f62c102

5358403842 has 64 divisors (see below), whose sum is σ = 12415348224. Its totient is φ = 1523728640.

The previous prime is 5358403837. The next prime is 5358403861. The reversal of 5358403842 is 2483048535.

It is a junction number, because it is equal to n+sod(n) for n = 5358403794 and 5358403803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382453 + ... + 396215.

It is an arithmetic number, because the mean of its divisors is an integer number (193989816).

Almost surely, 25358403842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5358403842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207674112).

5358403842 is an abundant number, since it is smaller than the sum of its proper divisors (7056944382).

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

5358403842 is a wasteful number, since it uses less digits than its factorization.

5358403842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14143.

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 5358403842 is about 73201.1191307893. The cubic root of 5358403842 is about 1749.8942893425.

The spelling of 5358403842 in words is "five billion, three hundred fifty-eight million, four hundred three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 347 374 561 694 1041 1122 2082 3817 5899 7634 11451 11798 13763 17697 22902 27526 35394 41289 64889 82578 129778 151393 194667 233971 302786 389334 454179 467942 701913 908358 1403826 2573681 4775761 5147362 7721043 9551522 14327283 15442086 28654566 52533371 81187937 105066742 157600113 162375874 243563811 315200226 487127622 893067307 1786134614 2679201921 5358403842