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37680025 = 524136761
BaseRepresentation
bin1000111110111…
…1001110011001
32121220100021111
42033233032121
534121230100
63423340321
7635163205
oct217571631
977810244
1037680025
111a2a6619
12107516a1
137a63896
14500bb05
1534946ba
hex23ef399

37680025 has 12 divisors (see below), whose sum is σ = 47864124. Its totient is φ = 29408000.

The previous prime is 37680001. The next prime is 37680029. The reversal of 37680025 is 52008673.

It can be written as a sum of positive squares in 6 ways, for example, as 18766224 + 18913801 = 4332^2 + 4349^2 .

It is not a de Polignac number, because 37680025 - 27 = 37679897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37680029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17356 + ... + 19405.

It is an arithmetic number, because the mean of its divisors is an integer number (3988677).

Almost surely, 237680025 is an apocalyptic number.

It is an amenable number.

37680025 is a deficient number, since it is larger than the sum of its proper divisors (10184099).

37680025 is a wasteful number, since it uses less digits than its factorization.

37680025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36812 (or 36807 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 37680025 is about 6138.4057376488. The cubic root of 37680025 is about 335.2512409490.

Adding to 37680025 its reverse (52008673), we get a palindrome (89688698).

The spelling of 37680025 in words is "thirty-seven million, six hundred eighty thousand, twenty-five".

Divisors: 1 5 25 41 205 1025 36761 183805 919025 1507201 7536005 37680025