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4042424646 = 2321323374143
BaseRepresentation
bin1111000011110010…
…1000000101000110
3101102201112110010100
43300330220011012
531234330042041
61505043104530
7202114020411
oct36074500506
911381473110
104042424646
111794930517
12949972146
134c5656a60
142a4c38b78
15189d556b6
hexf0f28146

4042424646 has 48 divisors (see below), whose sum is σ = 9472934016. Its totient is φ = 1238467968.

The previous prime is 4042424641. The next prime is 4042424723. The reversal of 4042424646 is 6464242404.

4042424646 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 4 + 2 + 4 + 646 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4042424646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042424641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17451 + ... + 91593.

It is an arithmetic number, because the mean of its divisors is an integer number (197352792).

Almost surely, 24042424646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042424646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736467008).

4042424646 is an abundant number, since it is smaller than the sum of its proper divisors (5430509370).

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

4042424646 is a wasteful number, since it uses less digits than its factorization.

4042424646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74397 (or 74394 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4042424646 is about 63580.0648474032. The cubic root of 4042424646 is about 1592.9934044979.

The spelling of 4042424646 in words is "four billion, forty-two million, four hundred twenty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 1398 2097 3029 4194 6058 9087 18174 27261 54522 74143 148286 222429 444858 667287 963859 1334574 1927718 2891577 5783154 8674731 17275319 17349462 34550638 51825957 103651914 155477871 224579147 310955742 449158294 673737441 1347474882 2021212323 4042424646