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42415625 = 5572277
BaseRepresentation
bin1010000111001…
…1011000001001
32221210221022002
42201303120021
541324300000
64113040345
71023345500
oct241633011
987727262
1042415625
1121a4053a
12122560b5
138a31205
1458c1837
153acc8d5
hex2873609

42415625 has 36 divisors (see below), whose sum is σ = 61894476. Its totient is φ = 28980000.

The previous prime is 42415601. The next prime is 42415627. The reversal of 42415625 is 52651424.

It can be written as a sum of positive squares in 6 ways, for example, as 39778249 + 2637376 = 6307^2 + 1624^2 .

It is not a de Polignac number, because 42415625 - 28 = 42415369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42415627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152987 + ... + 153263.

It is an arithmetic number, because the mean of its divisors is an integer number (1719291).

Almost surely, 242415625 is an apocalyptic number.

It is an amenable number.

42415625 is a deficient number, since it is larger than the sum of its proper divisors (19478851).

42415625 is an frugal number, since it uses more digits than its factorization.

42415625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 42415625 is about 6512.7279230749. The cubic root of 42415625 is about 348.7455089498.

The spelling of 42415625 in words is "forty-two million, four hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 277 625 875 1225 1385 1939 3125 4375 6125 6925 9695 13573 21875 30625 34625 48475 67865 153125 173125 242375 339325 865625 1211875 1696625 6059375 8483125 42415625