Search a number
-
+
3042575424 = 2632722343109
BaseRepresentation
bin1011010101011010…
…0000010001000000
321212001010211211200
42311112200101000
522212344403144
61221524541200
7135253315200
oct26526402100
97761124750
103042575424
1113214aaa49
1270ab51800
133964703b5
1420c12a400
1512c1a3c69
hexb55a0440

3042575424 has 504 divisors, whose sum is σ = 10931469120. Its totient is φ = 804722688.

The previous prime is 3042575413. The next prime is 3042575443. The reversal of 3042575424 is 4245752403.

3042575424 is a `hidden beast` number, since 3 + 0 + 42 + 575 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27913482 + ... + 27913590.

Almost surely, 23042575424 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 3042575424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465734560).

3042575424 is an abundant number, since it is smaller than the sum of its proper divisors (7888893696).

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

3042575424 is a wasteful number, since it uses less digits than its factorization.

3042575424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 3042575424 is about 55159.5451757898. The cubic root of 3042575424 is about 1449.0402565305.

The spelling of 3042575424 in words is "three billion, forty-two million, five hundred seventy-five thousand, four hundred twenty-four".