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542420437 = 13294613121
BaseRepresentation
bin100000010101001…
…010110111010101
31101210122210221211
4200111022313111
52102324423222
6125453541421
716304332456
oct4025126725
91353583854
10542420437
11259200559
121317a4871
13884b8550
145207912d
1532947277
hex2054add5

542420437 has 16 divisors (see below), whose sum is σ = 605792880. Its totient is φ = 482227200.

The previous prime is 542420413. The next prime is 542420449. The reversal of 542420437 is 734024245.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 201242596 + 341177841 = 14186^2 + 18471^2 .

It is not a de Polignac number, because 542420437 - 219 = 541896149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 542420399 and 542420408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542420537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172237 + ... + 175357.

It is an arithmetic number, because the mean of its divisors is an integer number (37862055).

Almost surely, 2542420437 is an apocalyptic number.

It is an amenable number.

542420437 is a deficient number, since it is larger than the sum of its proper divisors (63372443).

542420437 is a wasteful number, since it uses less digits than its factorization.

542420437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624.

The product of its (nonzero) digits is 26880, while the sum is 31.

The square root of 542420437 is about 23289.9213609664. The cubic root of 542420437 is about 815.5401525475.

It can be divided in two parts, 5424204 and 37, that added together give a square (5424241 = 23292).

The spelling of 542420437 in words is "five hundred forty-two million, four hundred twenty thousand, four hundred thirty-seven".

Divisors: 1 13 29 377 461 3121 5993 13369 40573 90509 173797 1176617 1438781 18704153 41724649 542420437