Search a number
-
+
5735257768 = 2317192219527
BaseRepresentation
bin1010101011101100…
…10001011010101000
3112210200220021121101
411111312101122220
543221211222033
62345034251144
7262060613062
oct52566213250
915720807541
105735257768
112483449059
121140886ab4
13705294166
143c59b6732
1523879097d
hex155d916a8

5735257768 has 32 divisors (see below), whose sum is σ = 11985451200. Its totient is φ = 2556893952.

The previous prime is 5735257757. The next prime is 5735257769. The reversal of 5735257768 is 8677525375.

It is not an unprimeable number, because it can be changed into a prime (5735257769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107180 + ... + 1112347.

It is an arithmetic number, because the mean of its divisors is an integer number (374545350).

Almost surely, 25735257768 is an apocalyptic number.

It is an amenable number.

5735257768 is an abundant number, since it is smaller than the sum of its proper divisors (6250193432).

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

5735257768 is a wasteful number, since it uses less digits than its factorization.

5735257768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219569 (or 2219565 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 55.

The square root of 5735257768 is about 75731.4846546666. The cubic root of 5735257768 is about 1789.9915491211.

It can be divided in two parts, 5735257 and 768, that added together give a square (5736025 = 23952).

The spelling of 5735257768 in words is "five billion, seven hundred thirty-five million, two hundred fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 646 1292 2584 2219527 4439054 8878108 17756216 37731959 42171013 75463918 84342026 150927836 168684052 301855672 337368104 716907221 1433814442 2867628884 5735257768