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542025 = 33521173
BaseRepresentation
bin10000100010101001001
31000112112000
42010111021
5114321100
615341213
74415151
oct2042511
91015460
10542025
11340260
12221809
1315c933
14101761
15aa900
hex84549

542025 has 48 divisors (see below), whose sum is σ = 1101120. Its totient is φ = 259200.

The previous prime is 542023. The next prime is 542027. The reversal of 542025 is 520245.

It is an interprime number because it is at equal distance from previous prime (542023) and next prime (542027).

It is not a de Polignac number, because 542025 - 21 = 542023 is a prime.

It is a super-2 number, since 2×5420252 = 587582201250, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 541989 and 542007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542025.

It is not an unprimeable number, because it can be changed into a prime (542021) 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 47 ways as a sum of consecutive naturals, for example, 7389 + ... + 7461.

It is an arithmetic number, because the mean of its divisors is an integer number (22940).

2542025 is an apocalyptic number.

542025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542025 is an abundant number, since it is smaller than the sum of its proper divisors (559095).

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

542025 is a wasteful number, since it uses less digits than its factorization.

542025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 542025 is about 736.2234715085. The cubic root of 542025 is about 81.5341921846.

It can be divided in two parts, 5420 and 25, that added together give a palindrome (5445).

The spelling of 542025 in words is "five hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 73 75 99 135 165 219 225 275 297 365 495 657 675 803 825 1095 1485 1825 1971 2409 2475 3285 4015 5475 7227 7425 9855 12045 16425 20075 21681 36135 49275 60225 108405 180675 542025