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542563050 = 2352191271499
BaseRepresentation
bin100000010101101…
…101101011101010
31101210221001120210
4200111231223222
52102344004200
6125501001550
716305465321
oct4025555352
91353831523
10542563050
11259298717
121318532b6
1388538433
14520b50b8
1532974650
hex2056daea

542563050 has 96 divisors (see below), whose sum is σ = 1428480000. Its totient is φ = 135898560.

The previous prime is 542563039. The next prime is 542563051. The reversal of 542563050 is 50365245.

542563050 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 542562999 and 542563017.

It is not an unprimeable number, because it can be changed into a prime (542563051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361201 + ... + 362699.

It is an arithmetic number, because the mean of its divisors is an integer number (14880000).

Almost surely, 2542563050 is an apocalyptic number.

542563050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542563050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240000).

542563050 is an abundant number, since it is smaller than the sum of its proper divisors (885916950).

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

542563050 is a wasteful number, since it uses less digits than its factorization.

542563050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 542563050 is about 23292.9828489183. The cubic root of 542563050 is about 815.6116201325.

The spelling of 542563050 in words is "five hundred forty-two million, five hundred sixty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 127 150 190 254 285 381 475 570 635 762 950 1270 1425 1499 1905 2413 2850 2998 3175 3810 4497 4826 6350 7239 7495 8994 9525 12065 14478 14990 19050 22485 24130 28481 36195 37475 44970 56962 60325 72390 74950 85443 112425 120650 142405 170886 180975 190373 224850 284810 361950 380746 427215 571119 712025 854430 951865 1142238 1424050 1903730 2136075 2855595 3617087 4272150 4759325 5711190 7234174 9518650 10851261 14277975 18085435 21702522 28555950 36170870 54256305 90427175 108512610 180854350 271281525 542563050