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542072331 = 347099439
BaseRepresentation
bin100000010011110…
…101111000001011
31101210000010110000
4200103311320023
52102232303311
6125442254043
716301352543
oct4023657013
91353003400
10542072331
11258a92a69
12131657323
13883c5c78
1451dc8323
15328c9056
hex204f5e0b

542072331 has 20 divisors (see below), whose sum is σ = 810990400. Its totient is φ = 360833616.

The previous prime is 542072329. The next prime is 542072341. The reversal of 542072331 is 133270245.

542072331 is a `hidden beast` number, since 5 + 420 + 7 + 233 + 1 = 666.

It is not a de Polignac number, because 542072331 - 21 = 542072329 is a prime.

It is a super-2 number, since 2×5420723312 = 587684824071547122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 542072295 and 542072304.

It is not an unprimeable number, because it can be changed into a prime (542072341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52710 + ... + 62148.

It is an arithmetic number, because the mean of its divisors is an integer number (40549520).

Almost surely, 2542072331 is an apocalyptic number.

542072331 is a deficient number, since it is larger than the sum of its proper divisors (268918069).

542072331 is an equidigital number, since it uses as much as digits as its factorization.

542072331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10160 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 542072331 is about 23282.4468430618. The cubic root of 542072331 is about 815.3656537309.

The spelling of 542072331 in words is "five hundred forty-two million, seventy-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 709 2127 6381 9439 19143 28317 57429 84951 254853 764559 6692251 20076753 60230259 180690777 542072331