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542421400 = 23522779791
BaseRepresentation
bin100000010101001…
…011000110011000
31101210122212021111
4200111023012120
52102324441100
6125453550104
716304335333
oct4025130630
91353585244
10542421400
11259201254
121317a5334
13884b8b11
145207961a
15329476ba
hex2054b198

542421400 has 48 divisors (see below), whose sum is σ = 1265811840. Its totient is φ = 216163200.

The previous prime is 542421391. The next prime is 542421401. The reversal of 542421400 is 4124245.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542421401) 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 11 ways as a sum of consecutive naturals, for example, 50505 + ... + 60295.

It is an arithmetic number, because the mean of its divisors is an integer number (26371080).

Almost surely, 2542421400 is an apocalyptic number.

542421400 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 542421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632905920).

542421400 is an abundant number, since it is smaller than the sum of its proper divisors (723390440).

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

542421400 is a wasteful number, since it uses less digits than its factorization.

542421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 542421400 is about 23289.9420351361. The cubic root of 542421400 is about 815.5406351772.

Adding to 542421400 its reverse (4124245), we get a palindrome (546545645).

The spelling of 542421400 in words is "five hundred forty-two million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 277 554 1108 1385 2216 2770 5540 6925 9791 11080 13850 19582 27700 39164 48955 55400 78328 97910 195820 244775 391640 489550 979100 1958200 2712107 5424214 10848428 13560535 21696856 27121070 54242140 67802675 108484280 135605350 271210700 542421400