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2484400113 = 331337191299
BaseRepresentation
bin1001010000010100…
…1110111111110001
320102010211121021000
42110011032333301
520042001300423
61050305152213
7115365024006
oct22405167761
96363747230
102484400113
111065419638
1259402b669
13307929a50
14197d4d8ad
15e8198843
hex9414eff1

2484400113 has 32 divisors (see below), whose sum is σ = 4070864000. Its totient is φ = 1487533248.

The previous prime is 2484400099. The next prime is 2484400123. The reversal of 2484400113 is 3110044842.

2484400113 is a `hidden beast` number, since 248 + 4 + 400 + 1 + 13 = 666.

It is not a de Polignac number, because 2484400113 - 216 = 2484334577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2484400123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 82663 + ... + 108636.

It is an arithmetic number, because the mean of its divisors is an integer number (127214500).

Almost surely, 22484400113 is an apocalyptic number.

It is an amenable number.

2484400113 is a deficient number, since it is larger than the sum of its proper divisors (1586463887).

2484400113 is a wasteful number, since it uses less digits than its factorization.

2484400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191358 (or 191352 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2484400113 is about 49843.7570112848. The cubic root of 2484400113 is about 1354.3799422414.

Adding to 2484400113 its reverse (3110044842), we get a palindrome (5594444955).

The spelling of 2484400113 in words is "two billion, four hundred eighty-four million, four hundred thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 37 39 111 117 333 351 481 999 1443 4329 12987 191299 573897 1721691 2486887 5165073 7078063 7460661 21234189 22381983 63702567 67145949 92014819 191107701 276044457 828133371 2484400113