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4042582542 = 232299118501
BaseRepresentation
bin1111000011110100…
…1110101000001110
3101102201211110201100
43300331032220032
531234400120132
61505050323530
7202115245635
oct36075165016
911381743640
104042582542
111794a29109
12949a295a6
134c56b089b
142a4c7a51c
15189d8737c
hexf0f4ea0e

4042582542 has 48 divisors (see below), whose sum is σ = 9071974080. Its totient is φ = 1299480000.

The previous prime is 4042582529. The next prime is 4042582547. The reversal of 4042582542 is 2452852404.

It is a junction number, because it is equal to n+sod(n) for n = 4042582497 and 4042582506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042582547) 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 23 ways as a sum of consecutive naturals, for example, 471292 + ... + 479792.

It is an arithmetic number, because the mean of its divisors is an integer number (188999460).

Almost surely, 24042582542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042582542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535987040).

4042582542 is an abundant number, since it is smaller than the sum of its proper divisors (5029391538).

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

4042582542 is a wasteful number, since it uses less digits than its factorization.

4042582542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9449 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4042582542 is about 63581.3065452417. The cubic root of 4042582542 is about 1593.0141448566.

The spelling of 4042582542 in words is "four billion, forty-two million, five hundred eighty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 911 1822 2733 5466 8199 8501 16398 17002 25503 26419 51006 52838 76509 79257 153018 158514 237771 246529 475542 493058 739587 1479174 2218761 4437522 7744411 15488822 23233233 46466466 69699699 139399398 224587919 449175838 673763757 1347527514 2021291271 4042582542