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754545961 = 13221132
BaseRepresentation
bin101100111110010…
…111010100101001
31221120210220110201
4230332113110221
53021130432321
6202512312201
724461351311
oct5476272451
91846726421
10754545961
11357a15604
12190842661
13c0429a00
14722d6441
1546399291
hex2cf97529

754545961 has 9 divisors (see below), whose sum is σ = 817439589. Its totient is φ = 696174336.

The previous prime is 754545949. The next prime is 754546019. The reversal of 754545961 is 169545457.

The square root of 754545961 is 27469.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 625950361 + 128595600 = 25019^2 + 11340^2 .

It is not a de Polignac number, because 754545961 - 211 = 754543913 is a prime.

It is a super-2 number, since 2×7545459612 = 1138679214522827042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (754545941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 356041 + ... + 358153.

It is an arithmetic number, because the mean of its divisors is an integer number (90826621).

Almost surely, 2754545961 is an apocalyptic number.

754545961 is the 27469-th square number.

754545961 is the 13735-th centered octagonal number.

It is an amenable number.

754545961 is a deficient number, since it is larger than the sum of its proper divisors (62893628).

754545961 is an frugal number, since it uses more digits than its factorization.

754545961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 2126 counting only the distinct ones).

The product of its digits is 756000, while the sum is 46.

The cubic root of 754545961 is about 910.3922798526.

The spelling of 754545961 in words is "seven hundred fifty-four million, five hundred forty-five thousand, nine hundred sixty-one".

Divisors: 1 13 169 2113 27469 357097 4464769 58041997 754545961