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542777490 = 233510918443
BaseRepresentation
bin100000010110100…
…010000010010010
31101211022221202000
4200112202002102
52102422334430
6125505334430
716310350443
oct4026420222
91354287660
10542777490
11259424842
12131937416
13885b1c18
145212d2ca
15329b7e60
hex205a2092

542777490 has 64 divisors (see below), whose sum is σ = 1460764800. Its totient is φ = 143404992.

The previous prime is 542777489. The next prime is 542777491. The reversal of 542777490 is 94777245.

It is an interprime number because it is at equal distance from previous prime (542777489) and next prime (542777491).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (542777491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20209 + ... + 38651.

It is an arithmetic number, because the mean of its divisors is an integer number (22824450).

Almost surely, 2542777490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542777490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730382400).

542777490 is an abundant number, since it is smaller than the sum of its proper divisors (917987310).

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

542777490 is a wasteful number, since it uses less digits than its factorization.

542777490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568 (or 18562 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 542777490 is about 23297.5854972141. The cubic root of 542777490 is about 815.7190587787.

The spelling of 542777490 in words is "five hundred forty-two million, seven hundred seventy-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2943 3270 4905 5886 9810 14715 18443 29430 36886 55329 92215 110658 165987 184430 276645 331974 497961 553290 829935 995922 1659870 2010287 2489805 4020574 4979610 6030861 10051435 12061722 18092583 20102870 30154305 36185166 54277749 60308610 90462915 108555498 180925830 271388745 542777490