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2484334842 = 231146381299
BaseRepresentation
bin1001010000010011…
…1111000011111010
320102010201021201120
42110010333003322
520041442203332
61050303530110
7115364332503
oct22404770372
96363637646
102484334842
1110653845a0
12593bb9936
13307906122
14197d33baa
15e818432c
hex9413f0fa

2484334842 has 32 divisors (see below), whose sum is σ = 5432140800. Its totient is φ = 751193520.

The previous prime is 2484334819. The next prime is 2484334843.

2484334842 is nontrivially palindromic in base 10.

2484334842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2484334794 and 2484334803.

It is not an unprimeable number, because it can be changed into a prime (2484334843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10092 + ... + 71207.

It is an arithmetic number, because the mean of its divisors is an integer number (169754400).

Almost surely, 22484334842 is an apocalyptic number.

2484334842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2484334842 is an abundant number, since it is smaller than the sum of its proper divisors (2947805958).

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

2484334842 is a wasteful number, since it uses less digits than its factorization.

2484334842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81778.

The product of its digits is 589824, while the sum is 42.

The square root of 2484334842 is about 49843.1022509635. The cubic root of 2484334842 is about 1354.3680812282.

It can be divided in two parts, 24843 and 34842, that added together give a triangular number (59685 = T345).

The spelling of 2484334842 in words is "two billion, four hundred eighty-four million, three hundred thirty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 463 926 1389 2778 5093 10186 15279 30558 81299 162598 243897 487794 894289 1788578 2682867 5365734 37641437 75282874 112924311 225848622 414055807 828111614 1242167421 2484334842