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2542032135 = 3251910129437
BaseRepresentation
bin1001011110000100…
…0101010100000111
320120011021121112100
42113201011110013
520201230012020
61100124323143
7116664626256
oct22741052407
96504247470
102542032135
111094a02405
125ab3a34b3
13316857c36
141a187279d
15ed27ea90
hex97845507

2542032135 has 48 divisors (see below), whose sum is σ = 4684174560. Its totient is φ = 1271635200.

The previous prime is 2542032131. The next prime is 2542032137. The reversal of 2542032135 is 5312302452.

It is a happy number.

2542032135 is a `hidden beast` number, since 25 + 420 + 3 + 213 + 5 = 666.

It is not a de Polignac number, because 2542032135 - 22 = 2542032131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2542032099 and 2542032108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542032131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71637 + ... + 101073.

It is an arithmetic number, because the mean of its divisors is an integer number (97586970).

Almost surely, 22542032135 is an apocalyptic number.

2542032135 is a deficient number, since it is larger than the sum of its proper divisors (2142142425).

2542032135 is a wasteful number, since it uses less digits than its factorization.

2542032135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29568 (or 29565 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2542032135 is about 50418.5693470174. The cubic root of 2542032135 is about 1364.7727593380.

Adding to 2542032135 its reverse (5312302452), we get a palindrome (7854334587).

The spelling of 2542032135 in words is "two billion, five hundred forty-two million, thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 57 95 101 171 285 303 505 855 909 1515 1919 4545 5757 9595 17271 28785 29437 86355 88311 147185 264933 441555 559303 1324665 1677909 2796515 2973137 5033727 8389545 8919411 14865685 25168635 26758233 44597055 56489603 133791165 169468809 282448015 508406427 847344045 2542032135