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542100440 = 23576433011
BaseRepresentation
bin100000010011111…
…100101111011000
31101210001120000002
4200103330233120
52102234203230
6125443032132
716301530520
oct4023745730
91353046002
10542100440
112590020a2
1213166b648
13884059bb
1451dd4680
15328d2545
hex204fcbd8

542100440 has 64 divisors (see below), whose sum is σ = 1396604160. Its totient is φ = 185512320.

The previous prime is 542100439. The next prime is 542100487. The reversal of 542100440 is 44001245.

542100440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178535 + ... + 181545.

It is an arithmetic number, because the mean of its divisors is an integer number (21821940).

Almost surely, 2542100440 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 542100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698302080).

542100440 is an abundant number, since it is smaller than the sum of its proper divisors (854503720).

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

542100440 is a wasteful number, since it uses less digits than its factorization.

542100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 542100440 is about 23283.0504874254. The cubic root of 542100440 is about 815.3797470020.

Adding to 542100440 its reverse (44001245), we get a palindrome (586101685).

The spelling of 542100440 in words is "five hundred forty-two million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 643 1286 2572 3011 3215 4501 5144 6022 6430 9002 12044 12860 15055 18004 21077 22505 24088 25720 30110 36008 42154 45010 60220 84308 90020 105385 120440 168616 180040 210770 421540 843080 1936073 3872146 7744292 9680365 13552511 15488584 19360730 27105022 38721460 54210044 67762555 77442920 108420088 135525110 271050220 542100440