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542152 = 23132401
BaseRepresentation
bin10000100010111001000
31000112200201
42010113020
5114322102
615341544
74415422
oct2042710
91015621
10542152
11340366
122218b4
1315ca00
14101812
15aa987
hex845c8

542152 has 24 divisors (see below), whose sum is σ = 1103490. Its totient is φ = 249600.

The previous prime is 542149. The next prime is 542153. The reversal of 542152 is 251245.

It can be written as a sum of positive squares in 3 ways, for example, as 443556 + 98596 = 666^2 + 314^2 .

It is a super-2 number, since 2×5421522 = 587857582208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (542153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1152 + ... + 1552.

2542152 is an apocalyptic number.

542152 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 542152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551745).

542152 is an abundant number, since it is smaller than the sum of its proper divisors (561338).

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

542152 is a wasteful number, since it uses less digits than its factorization.

542152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its digits is 400, while the sum is 19.

The square root of 542152 is about 736.3097174423. The cubic root of 542152 is about 81.5405596853.

Adding to 542152 its reverse (251245), we get a palindrome (793397).

The spelling of 542152 in words is "five hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 401 676 802 1352 1604 3208 5213 10426 20852 41704 67769 135538 271076 542152