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2402123424 = 25325022119
BaseRepresentation
bin1000111100101101…
…0111111010100000
320012102000111212020
42033023113322200
514404420422144
61034205501440
7113345466201
oct21713277240
96172014766
102402123424
111022a32978
12570571880
132c388030c
1418b0535a8
15e0d45419
hex8f2d7ea0

2402123424 has 24 divisors (see below), whose sum is σ = 6305574240. Its totient is φ = 800707776.

The previous prime is 2402123419. The next prime is 2402123459. The reversal of 2402123424 is 4243212042.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2402123394 and 2402123403.

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 3 ways as a sum of consecutive naturals, for example, 12510964 + ... + 12511155.

It is an arithmetic number, because the mean of its divisors is an integer number (262732260).

Almost surely, 22402123424 is an apocalyptic number.

2402123424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2402123424 is an abundant number, since it is smaller than the sum of its proper divisors (3903450816).

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

2402123424 is a wasteful number, since it uses less digits than its factorization.

2402123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022132 (or 25022124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2402123424 is about 49011.4621695783. The cubic root of 2402123424 is about 1339.2606421012.

Adding to 2402123424 its reverse (4243212042), we get a palindrome (6645335466).

The spelling of 2402123424 in words is "two billion, four hundred two million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 25022119 50044238 75066357 100088476 150132714 200176952 300265428 400353904 600530856 800707808 1201061712 2402123424