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542151792 = 24347134597
BaseRepresentation
bin100000010100001…
…001010001110000
31101210011011110000
4200110021101300
52102242324132
6125444110000
716302133320
oct4024112160
91353134400
10542151792
11259037736
12131695300
13884231a0
1452009280
15328e287c
hex20509470

542151792 has 200 divisors, whose sum is σ = 1931674976. Its totient is φ = 142953984.

The previous prime is 542151763. The next prime is 542151793. The reversal of 542151792 is 297151245.

542151792 is a `hidden beast` number, since 54 + 2 + 1 + 517 + 92 = 666.

It is a super-2 number, since 2×5421517922 = 587857131137622528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542151793) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115638 + ... + 120234.

Almost surely, 2542151792 is an apocalyptic number.

542151792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542151792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965837488).

542151792 is an abundant number, since it is smaller than the sum of its proper divisors (1389523184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542151792 is a wasteful number, since it uses less digits than its factorization.

542151792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4622 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 542151792 is about 23284.1532377710. The cubic root of 542151792 is about 815.4054925746.

The spelling of 542151792 in words is "five hundred forty-two million, one hundred fifty-one thousand, seven hundred ninety-two".