Search a number
-
+
765727676 = 227533471487
BaseRepresentation
bin101101101001000…
…001001110111100
31222100211222220022
4231221001032330
53032011241201
6203552111312
724655402130
oct5551011674
91870758808
10765727676
1136326259a
12194535538
13c28433cc
14739a73c0
154735741b
hex2da413bc

765727676 has 48 divisors (see below), whose sum is σ = 1565899776. Its totient is φ = 320833344.

The previous prime is 765727673. The next prime is 765727741. The reversal of 765727676 is 676727567.

765727676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765727673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514205 + ... + 515691.

It is an arithmetic number, because the mean of its divisors is an integer number (32622912).

Almost surely, 2765727676 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 765727676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782949888).

765727676 is an abundant number, since it is smaller than the sum of its proper divisors (800172100).

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

765727676 is a wasteful number, since it uses less digits than its factorization.

765727676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1896 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 53.

The square root of 765727676 is about 27671.7848358215. The cubic root of 765727676 is about 914.8673206844.

It can be divided in two parts, 76572 and 7676, that added together give a palindrome (84248).

The spelling of 765727676 in words is "seven hundred sixty-five million, seven hundred twenty-seven thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 53 106 212 347 371 694 742 1388 1484 1487 2429 2974 4858 5948 9716 10409 18391 20818 36782 41636 73564 78811 128737 157622 257474 315244 514948 515989 551677 1031978 1103354 2063956 2206708 3611923 7223846 14447692 27347417 54694834 109389668 191431919 382863838 765727676