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540595088 = 241121032711
BaseRepresentation
bin100000001110001…
…101001110010000
31101200020002001022
4200032031032100
52101343020323
6125350455012
716252660655
oct4016151620
91350202038
10540595088
11258174100
12131064468
1387cc9767
1451b21c2c
15326d64c8
hex2038d390

540595088 has 60 divisors (see below), whose sum is σ = 1162883904. Its totient is φ = 243249600.

The previous prime is 540595079. The next prime is 540595091. The reversal of 540595088 is 880595045.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198053 + ... + 200763.

Almost surely, 2540595088 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 540595088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581441952).

540595088 is an abundant number, since it is smaller than the sum of its proper divisors (622288816).

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

540595088 is a wasteful number, since it uses less digits than its factorization.

540595088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 44.

The square root of 540595088 is about 23250.7008066424. The cubic root of 540595088 is about 814.6243080055.

The spelling of 540595088 in words is "five hundred forty million, five hundred ninety-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 103 121 176 206 242 412 484 824 968 1133 1648 1936 2266 2711 4532 5422 9064 10844 12463 18128 21688 24926 29821 43376 49852 59642 99704 119284 199408 238568 279233 328031 477136 558466 656062 1116932 1312124 2233864 2624248 3071563 4467728 5248496 6143126 12286252 24572504 33787193 49145008 67574386 135148772 270297544 540595088