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541007432 = 23721638467
BaseRepresentation
bin100000001111110…
…001111001001000
31101201000000200022
4200033301321020
52101444214212
6125403400012
716256326100
oct4017617110
91351000608
10541007432
11258425989
12131223008
1388112354
1451bcc200
1532768772
hex203f1e48

541007432 has 48 divisors (see below), whose sum is σ = 1187382960. Its totient is φ = 230410656.

The previous prime is 541007429. The next prime is 541007437. The reversal of 541007432 is 234700145.

It is not an unprimeable number, because it can be changed into a prime (541007437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59663 + ... + 68129.

It is an arithmetic number, because the mean of its divisors is an integer number (24737145).

Almost surely, 2541007432 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 541007432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593691480).

541007432 is an abundant number, since it is smaller than the sum of its proper divisors (646375528).

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

541007432 is a wasteful number, since it uses less digits than its factorization.

541007432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 541007432 is about 23259.5664619958. The cubic root of 541007432 is about 814.8313761570.

Adding to 541007432 its reverse (234700145), we get a palindrome (775707577).

The spelling of 541007432 in words is "five hundred forty-one million, seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 163 196 326 392 652 1141 1304 2282 4564 7987 8467 9128 15974 16934 31948 33868 59269 63896 67736 118538 237076 414883 474152 829766 1380121 1659532 2760242 3319064 5520484 9660847 11040968 19321694 38643388 67625929 77286776 135251858 270503716 541007432