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42085125 = 325337409
BaseRepresentation
bin1010000010001…
…0101100000101
32221012010221100
42200202230011
541233211000
64102010313
71020501105
oct240425405
987163840
1042085125
11218351a5
1212116999
138946954
145837205
153a64a00
hex2822b05

42085125 has 24 divisors (see below), whose sum is σ = 75867480. Its totient is φ = 22444800.

The previous prime is 42085123. The next prime is 42085129. The reversal of 42085125 is 52158024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11249316 + 30835809 = 3354^2 + 5553^2 .

It is not a de Polignac number, because 42085125 - 21 = 42085123 is a prime.

It is a super-3 number, since 3×420851253 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42085123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17580 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (3161145).

Almost surely, 242085125 is an apocalyptic number.

42085125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42085125 is a deficient number, since it is larger than the sum of its proper divisors (33782355).

42085125 is a wasteful number, since it uses less digits than its factorization.

42085125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37430 (or 37417 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 42085125 is about 6487.3049103615. The cubic root of 42085125 is about 347.8373447160.

It can be divided in two parts, 42085 and 125, that multiplied together give a palindrome (5260625).

The spelling of 42085125 in words is "forty-two million, eighty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 37409 112227 187045 336681 561135 935225 1683405 2805675 4676125 8417025 14028375 42085125