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4040402424 = 2335310330839
BaseRepresentation
bin1111000011010011…
…1010010111111000
3101102120201201011020
43300310322113320
531233320334144
61504531502440
7202060565622
oct36064722770
911376651136
104040402424
11179377a163
12949157a20
134c50c9486
142a486dc12
15189aa6419
hexf0d3a5f8

4040402424 has 64 divisors (see below), whose sum is σ = 10391846400. Its totient is φ = 1308518016.

The previous prime is 4040402407. The next prime is 4040402437. The reversal of 4040402424 is 4242040404.

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 = 4040402394 and 4040402403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115597 + ... + 146435.

It is an arithmetic number, because the mean of its divisors is an integer number (162372600).

Almost surely, 24040402424 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 4040402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195923200).

4040402424 is an abundant number, since it is smaller than the sum of its proper divisors (6351443976).

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

4040402424 is a wasteful number, since it uses less digits than its factorization.

4040402424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31004 (or 31000 counting only the distinct ones).

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

The square root of 4040402424 is about 63564.1599016301. The cubic root of 4040402424 is about 1592.7277286634.

Adding to 4040402424 its reverse (4242040404), we get a palindrome (8282442828).

The spelling of 4040402424 in words is "four billion, forty million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 103 106 159 206 212 309 318 412 424 618 636 824 1236 1272 2472 5459 10918 16377 21836 30839 32754 43672 61678 65508 92517 123356 131016 185034 246712 370068 740136 1634467 3176417 3268934 4903401 6352834 6537868 9529251 9806802 12705668 13075736 19058502 19613604 25411336 38117004 39227208 76234008 168350101 336700202 505050303 673400404 1010100606 1346800808 2020201212 4040402424