Search a number
-
+
2552131032 = 233112878833
BaseRepresentation
bin1001100000011110…
…0110110111011000
320120212021200121120
42120013212313120
520211321143112
61101125005240
7120146520153
oct23007466730
96525250546
102552131032
11109a67a900
125b2853820
13318982809
141a2d40c9a
15ee0c6e8c
hex981e6dd8

2552131032 has 48 divisors (see below), whose sum is σ = 7013095320. Its totient is φ = 773372160.

The previous prime is 2552131031. The next prime is 2552131039. The reversal of 2552131032 is 2301312552.

It is a happy number.

2552131032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2552130993 and 2552131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552131031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436513 + ... + 442320.

Almost surely, 22552131032 is an apocalyptic number.

2552131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2552131032 is an abundant number, since it is smaller than the sum of its proper divisors (4460964288).

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

2552131032 is a wasteful number, since it uses less digits than its factorization.

2552131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878864 (or 878849 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2552131032 is about 50518.6206462528. The cubic root of 2552131032 is about 1366.5776785472.

Adding to 2552131032 its reverse (2301312552), we get a palindrome (4853443584).

The spelling of 2552131032 in words is "two billion, five hundred fifty-two million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 878833 1757666 2636499 3515332 5272998 7030664 9667163 10545996 19334326 21091992 29001489 38668652 58002978 77337304 106338793 116005956 212677586 232011912 319016379 425355172 638032758 850710344 1276065516 2552131032