Search a number
-
+
2481332535 = 355113153113
BaseRepresentation
bin1001001111100110…
…0010000100110111
320101221001202100000
42103321202010313
520040210120120
61050115322343
7115326656433
oct22371420467
96357052300
102481332535
111063713950
12592bb03b3
133070c4706
141977919c3
15e7c8e990
hex93e62137

2481332535 has 192 divisors, whose sum is σ = 5162766336. Its totient is φ = 1132185600.

The previous prime is 2481332519. The next prime is 2481332543. The reversal of 2481332535 is 5352331842.

2481332535 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2481332535 - 24 = 2481332519 is a prime.

It is a super-2 number, since 2×24813325352 = 12314022298499052450, which contains 22 as substring.

Its product of digits (86400) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 2481332535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21958639 + ... + 21958751.

It is an arithmetic number, because the mean of its divisors is an integer number (26889408).

Almost surely, 22481332535 is an apocalyptic number.

2481332535 is an abundant number, since it is smaller than the sum of its proper divisors (2681433801).

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

2481332535 is a wasteful number, since it uses less digits than its factorization.

2481332535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2481332535 is about 49812.9755686207. The cubic root of 2481332535 is about 1353.8222788121.

The spelling of 2481332535 in words is "two billion, four hundred eighty-one million, three hundred thirty-two thousand, five hundred thirty-five".