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542372121 = 32101596669
BaseRepresentation
bin100000010100111…
…111000100011001
31101210120100200100
4200110333010121
52102321401441
6125452530013
716304041554
oct4024770431
91353510610
10542372121
11259178225
12131780909
138849c565
145206569b
1532937cb6
hex2053f119

542372121 has 12 divisors (see below), whose sum is σ = 791184420. Its totient is φ = 358000800.

The previous prime is 542372107. The next prime is 542372137. The reversal of 542372121 is 121273245.

It can be written as a sum of positive squares in 2 ways, for example, as 288320400 + 254051721 = 16980^2 + 15939^2 .

It is not a de Polignac number, because 542372121 - 213 = 542363929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542372221) 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, 297426 + ... + 299243.

It is an arithmetic number, because the mean of its divisors is an integer number (65932035).

Almost surely, 2542372121 is an apocalyptic number.

It is an amenable number.

542372121 is a deficient number, since it is larger than the sum of its proper divisors (248812299).

542372121 is a wasteful number, since it uses less digits than its factorization.

542372121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596776 (or 596773 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 542372121 is about 23288.8840651501. The cubic root of 542372121 is about 815.5159371324.

The spelling of 542372121 in words is "five hundred forty-two million, three hundred seventy-two thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 596669 1790007 5370021 60263569 180790707 542372121