Search a number
-
+
5013433240 = 235538592753
BaseRepresentation
bin1001010101101001…
…01110101110011000
3110221101122210111121
410222310232232120
540231414330430
62145251135024
7235144323304
oct45264565630
913841583447
105013433240
112142a52662
12b7aba4474
1361b88305a
14357b9ad04
151e520ba7a
hex12ad2eb98

5013433240 has 64 divisors (see below), whose sum is σ = 11510618400. Its totient is φ = 1964531712.

The previous prime is 5013433237. The next prime is 5013433267. The reversal of 5013433240 is 423343105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1819704 + ... + 1822456.

Almost surely, 25013433240 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 5013433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755309200).

5013433240 is an abundant number, since it is smaller than the sum of its proper divisors (6497185160).

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

5013433240 is a wasteful number, since it uses less digits than its factorization.

5013433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 5013433240 is about 70805.6017557933. The cubic root of 5013433240 is about 1711.5059451236.

Adding to 5013433240 its reverse (423343105), we get a palindrome (5436776345).

The spelling of 5013433240 in words is "five billion, thirteen million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 859 1060 1718 2120 2753 3436 4295 5506 6872 8590 11012 13765 17180 22024 27530 34360 45527 55060 91054 110120 145909 182108 227635 291818 364216 455270 583636 729545 910540 1167272 1459090 1821080 2364827 2918180 4729654 5836360 9459308 11824135 18918616 23648270 47296540 94593080 125335831 250671662 501343324 626679155 1002686648 1253358310 2506716620 5013433240