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541432026 = 23437591531
BaseRepresentation
bin100000010001011…
…001100011011010
31101201210121010000
4200101121203122
52102101311101
6125420433430
716263045012
oct4021314332
91351717100
10541432026
11258695993
121313a8876
13882306a5
1451c9cc42
15327ee486
hex204598da

541432026 has 80 divisors (see below), whose sum is σ = 1267944480. Its totient is φ = 172510560.

The previous prime is 541432009. The next prime is 541432027. The reversal of 541432026 is 620234145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (541432027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 352881 + ... + 354411.

It is an arithmetic number, because the mean of its divisors is an integer number (15849306).

Almost surely, 2541432026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541432026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633972240).

541432026 is an abundant number, since it is smaller than the sum of its proper divisors (726512454).

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

541432026 is a wasteful number, since it uses less digits than its factorization.

541432026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 541432026 is about 23268.6919701130. The cubic root of 541432026 is about 815.0444860106.

It can be divided in two parts, 54143 and 2026, that added together give a square (56169 = 2372).

The spelling of 541432026 in words is "five hundred forty-one million, four hundred thirty-two thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 59 74 81 111 118 162 177 222 333 354 531 666 999 1062 1531 1593 1998 2183 2997 3062 3186 4366 4593 4779 5994 6549 9186 9558 13098 13779 19647 27558 39294 41337 56647 58941 82674 90329 113294 117882 124011 169941 176823 180658 248022 270987 339882 353646 509823 541974 812961 1019646 1529469 1625922 2438883 3058938 3342173 4588407 4877766 6684346 7316649 9176814 10026519 14633298 20053038 30079557 60159114 90238671 180477342 270716013 541432026