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542610480 = 24352398299
BaseRepresentation
bin100000010101111…
…001010000110000
31101211000110122110
4200111321100300
52102402013410
6125502005320
716306053516
oct4025712060
91354013573
10542610480
11259320315
12131876840
1388553bb9
14520c84b6
1532983720
hex20579430

542610480 has 80 divisors (see below), whose sum is σ = 1755244800. Its totient is φ = 138403584.

The previous prime is 542610479. The next prime is 542610487. The reversal of 542610480 is 84016245.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5426104802 = 588852266011660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (542610487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43630 + ... + 54669.

It is an arithmetic number, because the mean of its divisors is an integer number (21940560).

Almost surely, 2542610480 is an apocalyptic number.

It is an amenable number.

542610480 is an abundant number, since it is smaller than the sum of its proper divisors (1212634320).

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

542610480 is a wasteful number, since it uses less digits than its factorization.

542610480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98338 (or 98332 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 542610480 is about 23294.0009444492. Note that the first 3 decimals coincide. The cubic root of 542610480 is about 815.6353859308.

The spelling of 542610480 in words is "five hundred forty-two million, six hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 98299 196598 294897 393196 491495 589794 786392 982990 1179588 1474485 1572784 1965980 2260877 2359176 2948970 3931960 4521754 4718352 5897940 6782631 7863920 9043508 11304385 11795880 13565262 18087016 22608770 23591760 27130524 33913155 36174032 45217540 54261048 67826310 90435080 108522096 135652620 180870160 271305240 542610480