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542406051 = 34113716453
BaseRepresentation
bin100000010101000…
…111010110100011
31101210122002020000
4200111013112203
52102323443201
6125453351043
716304242515
oct4025072643
91353562200
10542406051
112591a0770
12131798483
13884b1b35
1452073bb5
1532942d86
hex205475a3

542406051 has 40 divisors (see below), whose sum is σ = 907865904. Its totient is φ = 319826880.

The previous prime is 542406031. The next prime is 542406077. The reversal of 542406051 is 150604245.

542406051 is a `hidden beast` number, since 54 + 2 + 4 + 0 + 605 + 1 = 666.

It is not a de Polignac number, because 542406051 - 25 = 542406019 is a prime.

It is a super-2 number, since 2×5424060512 = 588408648322829202, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (542406001) 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 39 ways as a sum of consecutive naturals, for example, 24741 + ... + 41193.

Almost surely, 2542406051 is an apocalyptic number.

542406051 is a deficient number, since it is larger than the sum of its proper divisors (365459853).

542406051 is a wasteful number, since it uses less digits than its factorization.

542406051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16513 (or 16504 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 542406051 is about 23289.6125128779. The cubic root of 542406051 is about 815.5329426026.

The spelling of 542406051 in words is "five hundred forty-two million, four hundred six thousand, fifty-one".

Divisors: 1 3 9 11 27 33 37 81 99 111 297 333 407 891 999 1221 2997 3663 10989 16453 32967 49359 148077 180983 444231 542949 608761 1332693 1628847 1826283 4886541 5478849 6696371 14659623 16436547 20089113 49309641 60267339 180802017 542406051