Search a number
-
+
42577325 = 527234757
BaseRepresentation
bin1010001001101…
…0110110101101
32222010011002222
42202122312231
541344433300
64120325125
71024621100
oct242326655
988104088
1042577325
1122040a7a
12123137a5
138a899ab
145924737
153b10785
hex289adad

42577325 has 18 divisors (see below), whose sum is σ = 61417386. Its totient is φ = 29195040.

The previous prime is 42577321. The next prime is 42577349. The reversal of 42577325 is 52377524.

It can be written as a sum of positive squares in 3 ways, for example, as 561001 + 42016324 = 749^2 + 6482^2 .

It is not a de Polignac number, because 42577325 - 22 = 42577321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42577321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16154 + ... + 18603.

It is an arithmetic number, because the mean of its divisors is an integer number (3412077).

Almost surely, 242577325 is an apocalyptic number.

It is an amenable number.

42577325 is a deficient number, since it is larger than the sum of its proper divisors (18840061).

42577325 is a wasteful number, since it uses less digits than its factorization.

42577325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34781 (or 34769 counting only the distinct ones).

The product of its digits is 58800, while the sum is 35.

The square root of 42577325 is about 6525.1302668989. The cubic root of 42577325 is about 349.1881181644.

The spelling of 42577325 in words is "forty-two million, five hundred seventy-seven thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 34757 173785 243299 868925 1216495 1703093 6082475 8515465 42577325