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542441040 = 24352260171
BaseRepresentation
bin100000010101001…
…111111001010000
31101210200212012220
4200111033321100
52102331103130
6125454221040
716304446521
oct4025177120
91353625186
10542441040
11259214a89
121317b4780
13884c4a3b
1452082848
153294d410
hex2054fe50

542441040 has 40 divisors (see below), whose sum is σ = 1681567968. Its totient is φ = 144650880.

The previous prime is 542440991. The next prime is 542441041. The reversal of 542441040 is 40144245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 542441040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542441041) 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 7 ways as a sum of consecutive naturals, for example, 1129846 + ... + 1130325.

Almost surely, 2542441040 is an apocalyptic number.

It is an amenable number.

542441040 is an abundant number, since it is smaller than the sum of its proper divisors (1139126928).

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

542441040 is a wasteful number, since it uses less digits than its factorization.

542441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260187 (or 2260181 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 542441040 is about 23290.3636725578. The cubic root of 542441040 is about 815.5504780932.

Adding to 542441040 its reverse (40144245), we get a palindrome (582585285).

It can be divided in two parts, 5424 and 41040, that added together give a palindrome (46464).

The spelling of 542441040 in words is "five hundred forty-two million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2260171 4520342 6780513 9040684 11300855 13561026 18081368 22601710 27122052 33902565 36162736 45203420 54244104 67805130 90406840 108488208 135610260 180813680 271220520 542441040