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2402424024 = 2337112139091
BaseRepresentation
bin1000111100110010…
…0001010011011000
320012102120210012120
42033030201103120
514410010032044
61034220141240
7113351160450
oct21714412330
96172523176
102402424024
111023118800
12570697820
132c39570a0
1418b0d0d60
15e0da4519
hex8f3214d8

2402424024 has 192 divisors, whose sum is σ = 8126065920. Its totient is φ = 575942400.

The previous prime is 2402423963. The next prime is 2402424067. The reversal of 2402424024 is 4204242042.

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 = 2402423985 and 2402424003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259719 + ... + 268809.

It is an arithmetic number, because the mean of its divisors is an integer number (42323260).

Almost surely, 22402424024 is an apocalyptic number.

2402424024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063032960).

2402424024 is an abundant number, since it is smaller than the sum of its proper divisors (5723641896).

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

2402424024 is a wasteful number, since it uses less digits than its factorization.

2402424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2402424024 is about 49014.5287032325. The cubic root of 2402424024 is about 1339.3165044760.

2402424024 divided by its sum of digits (24) gives a palindrome (100101001).

Adding to 2402424024 its reverse (4204242042), we get a palindrome (6606666066).

It can be divided in two parts, 2402 and 424024, that added together give a triangular number (426426 = T923).

The spelling of 2402424024 in words is "two billion, four hundred two million, four hundred twenty-four thousand, twenty-four".