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542042100 = 223252602269
BaseRepresentation
bin100000010011101…
…110011111110100
31101202221120222100
4200103232133310
52102230321400
6125441502100
716301165445
oct4023563764
91352846870
10542042100
11258a72286
12131641930
13883b5292
1451dbb2cc
15328c0100
hex204ee7f4

542042100 has 54 divisors (see below), whose sum is σ = 1699003670. Its totient is φ = 144544320.

The previous prime is 542042063. The next prime is 542042101. The reversal of 542042100 is 1240245.

It can be written as a sum of positive squares in 3 ways, for example, as 4822416 + 537219684 = 2196^2 + 23178^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542042101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 300235 + ... + 302034.

Almost surely, 2542042100 is an apocalyptic number.

542042100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542042100 is an abundant number, since it is smaller than the sum of its proper divisors (1156961570).

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

542042100 is a wasteful number, since it uses less digits than its factorization.

542042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602289 (or 602279 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 542042100 is about 23281.7976110093. The cubic root of 542042100 is about 815.3504959890.

Adding to 542042100 its reverse (1240245), we get a palindrome (543282345).

The spelling of 542042100 in words is "five hundred forty-two million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 602269 1204538 1806807 2409076 3011345 3613614 5420421 6022690 7227228 9034035 10840842 12045380 15056725 18068070 21681684 27102105 30113450 36136140 45170175 54204210 60226900 90340350 108408420 135510525 180680700 271021050 542042100