Search a number
-
+
542813100 = 223523158367
BaseRepresentation
bin100000010110101…
…010101110101100
31101211101202120220
4200112222232230
52102430004400
6125510211340
716310556324
oct4026525654
91354352526
10542813100
11259449575
12131953b50
13885c51ab
145213c284
15329c37a0
hex205aabac

542813100 has 72 divisors (see below), whose sum is σ = 1621229568. Its totient is φ = 140078400.

The previous prime is 542813093. The next prime is 542813101. The reversal of 542813100 is 1318245.

It is a super-2 number, since 2×5428131002 = 589292123063220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542813101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19884 + ... + 38483.

Almost surely, 2542813100 is an apocalyptic number.

542813100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542813100 is an abundant number, since it is smaller than the sum of its proper divisors (1078416468).

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

542813100 is a wasteful number, since it uses less digits than its factorization.

542813100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58415 (or 58408 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 542813100 is about 23298.3497269656. The cubic root of 542813100 is about 815.7368973473.

It can be divided in two parts, 5428 and 13100, that added together give a triangular number (18528 = T192).

The spelling of 542813100 in words is "five hundred forty-two million, eight hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 58367 116734 175101 233468 291835 350202 583670 700404 875505 1167340 1459175 1751010 1809377 2918350 3502020 3618754 4377525 5428131 5836700 7237508 8755050 9046885 10856262 17510100 18093770 21712524 27140655 36187540 45234425 54281310 90468850 108562620 135703275 180937700 271406550 542813100