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542151657 = 3330016691
BaseRepresentation
bin100000010100001…
…001001111101001
31101210011011021000
4200110021033221
52102242323112
6125444105213
716302133035
oct4024111751
91353134230
10542151657
11259037623
12131695209
13884230c8
14520091c5
15328e27dc
hex205093e9

542151657 has 16 divisors (see below), whose sum is σ = 803575360. Its totient is φ = 361260000.

The previous prime is 542151647. The next prime is 542151667. The reversal of 542151657 is 756151245.

542151657 is a `hidden beast` number, since 542 + 1 + 51 + 65 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (542151647) and next prime (542151667).

It is not a de Polignac number, because 542151657 - 223 = 533763049 is a prime.

It is a super-3 number, since 3×5421516573 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542151647) 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, 77682 + ... + 84372.

It is an arithmetic number, because the mean of its divisors is an integer number (50223460).

Almost surely, 2542151657 is an apocalyptic number.

It is an amenable number.

542151657 is a deficient number, since it is larger than the sum of its proper divisors (261423703).

542151657 is a wasteful number, since it uses less digits than its factorization.

542151657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701 (or 9695 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 542151657 is about 23284.1503388034. The cubic root of 542151657 is about 815.4054248938.

The spelling of 542151657 in words is "five hundred forty-two million, one hundred fifty-one thousand, six hundred fifty-seven".

Divisors: 1 3 9 27 3001 6691 9003 20073 27009 60219 81027 180657 20079691 60239073 180717219 542151657