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542450500 = 22534147563
BaseRepresentation
bin100000010101010…
…010001101000100
31101210201100012021
4200111102031010
52102331404000
6125454332524
716304516224
oct4025221504
91353640167
10542450500
112592210a9
121317ba144
13884c9137
1452086084
153295111a
hex20552344

542450500 has 96 divisors (see below), whose sum is σ = 1241630208. Its totient is φ = 206816000.

The previous prime is 542450479. The next prime is 542450509. The reversal of 542450500 is 5054245.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542450509) 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, 963219 + ... + 963781.

It is an arithmetic number, because the mean of its divisors is an integer number (12933648).

Almost surely, 2542450500 is an apocalyptic number.

542450500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542450500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620815104).

542450500 is an abundant number, since it is smaller than the sum of its proper divisors (699179708).

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

542450500 is a wasteful number, since it uses less digits than its factorization.

542450500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 542450500 is about 23290.5667599567. The cubic root of 542450500 is about 815.5552190463. Note that the first 3 decimals are identical.

The spelling of 542450500 in words is "five hundred forty-two million, four hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 47 50 82 94 100 125 164 188 205 235 250 410 470 500 563 820 940 1025 1126 1175 1927 2050 2252 2350 2815 3854 4100 4700 5125 5630 5875 7708 9635 10250 11260 11750 14075 19270 20500 23083 23500 26461 28150 38540 46166 48175 52922 56300 70375 92332 96350 105844 115415 132305 140750 192700 230830 240875 264610 281500 461660 481750 529220 577075 661525 963500 1084901 1154150 1323050 2169802 2308300 2646100 2885375 3307625 4339604 5424505 5770750 6615250 10849010 11541500 13230500 21698020 27122525 54245050 108490100 135612625 271225250 542450500