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542772960 = 25351130777
BaseRepresentation
bin100000010110100…
…000111011100000
31101211022201112020
4200112200323200
52102422213320
6125505301440
716310331312
oct4026407340
91354281466
10542772960
112594213a4
12131934880
13885acb42
145212b7b2
15329b6940
hex205a0ee0

542772960 has 48 divisors (see below), whose sum is σ = 1709736336. Its totient is φ = 144739328.

The previous prime is 542772953. The next prime is 542772977. The reversal of 542772960 is 69277245.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5427729602 = 589204972214323200, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 564909 + ... + 565868.

It is an arithmetic number, because the mean of its divisors is an integer number (35619507).

Almost surely, 2542772960 is an apocalyptic number.

It is an amenable number.

542772960 is an abundant number, since it is smaller than the sum of its proper divisors (1166963376).

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

542772960 is a wasteful number, since it uses less digits than its factorization.

542772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130795 (or 1130787 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 542772960 is about 23297.4882766362. The cubic root of 542772960 is about 815.7167894525.

It can be divided in two parts, 5427 and 72960, that added together give a palindrome (78387).

The spelling of 542772960 in words is "five hundred forty-two million, seven hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1130777 2261554 3392331 4523108 5653885 6784662 9046216 11307770 13569324 16961655 18092432 22615540 27138648 33923310 36184864 45231080 54277296 67846620 90462160 108554592 135693240 180924320 271386480 542772960