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45780125 = 532973173
BaseRepresentation
bin1010111010100…
…0110010011101
310012010212112012
42232220302131
543204431000
64313121005
71064060516
oct256506235
9105125465
1045780125
1123929316
12133b9165
13963b741
146119a0d
154044735
hex2ba8c9d

45780125 has 32 divisors (see below), whose sum is σ = 60259680. Its totient is φ = 34675200.

The previous prime is 45780121. The next prime is 45780127. The reversal of 45780125 is 52108754.

It can be written as a sum of positive squares in 16 ways, for example, as 19545241 + 26234884 = 4421^2 + 5122^2 .

It is not a de Polignac number, because 45780125 - 22 = 45780121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45780091 and 45780100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45780121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264539 + ... + 264711.

It is an arithmetic number, because the mean of its divisors is an integer number (1883115).

Almost surely, 245780125 is an apocalyptic number.

It is an amenable number.

45780125 is a deficient number, since it is larger than the sum of its proper divisors (14479555).

45780125 is a wasteful number, since it uses less digits than its factorization.

45780125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 45780125 is about 6766.1011668464. The cubic root of 45780125 is about 357.7329891088.

Adding to 45780125 its reverse (52108754), we get a palindrome (97888879).

It can be divided in two parts, 45 and 780125, that multiplied together give a square (35105625 = 59252).

The spelling of 45780125 in words is "forty-five million, seven hundred eighty thousand, one hundred twenty-five".

Divisors: 1 5 25 29 73 125 145 173 365 725 865 1825 2117 3625 4325 5017 9125 10585 12629 21625 25085 52925 63145 125425 264625 315725 366241 627125 1578625 1831205 9156025 45780125