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542850100 = 225213417577
BaseRepresentation
bin100000010110110…
…011110000110100
31101211110122100021
4200112303300310
52102432200400
6125511054524
716311102232
oct4026636064
91354418307
10542850100
11259474351
12131971444
1388608ca0
145214b952
15329ce71a
hex205b3c34

542850100 has 36 divisors (see below), whose sum is σ = 1268601964. Its totient is φ = 200436480.

The previous prime is 542850059. The next prime is 542850109. The reversal of 542850100 is 1058245.

It can be written as a sum of positive squares in 6 ways, for example, as 168272784 + 374577316 = 12972^2 + 19354^2 .

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 (542850109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207489 + ... + 210088.

Almost surely, 2542850100 is an apocalyptic number.

542850100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542850100 is an abundant number, since it is smaller than the sum of its proper divisors (725751864).

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

542850100 is a wasteful number, since it uses less digits than its factorization.

542850100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417604 (or 417597 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 542850100 is about 23299.1437610913. The cubic root of 542850100 is about 815.7554313998.

The spelling of 542850100 in words is "five hundred forty-two million, eight hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 417577 835154 1670308 2087885 4175770 5428501 8351540 10439425 10857002 20878850 21714004 27142505 41757700 54285010 108570020 135712525 271425050 542850100