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542124500 = 22539831103
BaseRepresentation
bin100000010100000…
…010100111010100
31101210002210000012
4200110002213110
52102240441000
6125443335352
716301660621
oct4024024724
91353083005
10542124500
11259019185
12131681558
1388413938
1451ddd348
15328d9735
hex205029d4

542124500 has 48 divisors (see below), whose sum is σ = 1186278912. Its totient is φ = 216432800.

The previous prime is 542124491. The next prime is 542124529. The reversal of 542124500 is 5421245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490949 + ... + 492051.

It is an arithmetic number, because the mean of its divisors is an integer number (24714144).

Almost surely, 2542124500 is an apocalyptic number.

542124500 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 542124500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593139456).

542124500 is an abundant number, since it is smaller than the sum of its proper divisors (644154412).

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

542124500 is a wasteful number, since it uses less digits than its factorization.

542124500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 542124500 is about 23283.5671665662. The cubic root of 542124500 is about 815.3918098013.

Adding to 542124500 its reverse (5421245), we get a palindrome (547545745).

542124500 divided by its reverse (5421245) gives a square (100 = 102).

The spelling of 542124500 in words is "five hundred forty-two million, one hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 983 1103 1966 2206 3932 4412 4915 5515 9830 11030 19660 22060 24575 27575 49150 55150 98300 110300 122875 137875 245750 275750 491500 551500 1084249 2168498 4336996 5421245 10842490 21684980 27106225 54212450 108424900 135531125 271062250 542124500