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42149025 = 3352411523
BaseRepresentation
bin1010000011001…
…0010010100001
32221022101121000
42200302102201
541242232100
64103222213
71021155312
oct240622241
987271530
1042149025
1121879206
1212147969
138969a69
145852609
153a78900
hex28324a1

42149025 has 48 divisors (see below), whose sum is σ = 79369920. Its totient is φ = 21916800.

The previous prime is 42149021. The next prime is 42149039. The reversal of 42149025 is 52094124.

It is not a de Polignac number, because 42149025 - 22 = 42149021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42149025.

It is not an unprimeable number, because it can be changed into a prime (42149021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26914 + ... + 28436.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 242149025 is an apocalyptic number.

42149025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42149025 is a deficient number, since it is larger than the sum of its proper divisors (37220895).

42149025 is a wasteful number, since it uses less digits than its factorization.

42149025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42149025 is about 6492.2280459023. The cubic root of 42149025 is about 348.0133021075.

The spelling of 42149025 in words is "forty-two million, one hundred forty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 123 135 205 225 369 615 675 1025 1107 1523 1845 3075 4569 5535 7615 9225 13707 22845 27675 38075 41121 62443 68535 114225 187329 205605 312215 342675 561987 936645 1028025 1561075 1685961 2809935 4683225 8429805 14049675 42149025