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39950015625 = 3256132412
BaseRepresentation
bin100101001101001101…
…001101110010001001
310211010012000001211100
4211031031031302021
51123304201000000
630204111252013
72612666346522
oct451515156211
9124105001740
1039950015625
1115a40819043
1278ab21a009
1339c8901300
141d0dab9849
15108c411a00
hex94d34dc89

39950015625 has 189 divisors, whose sum is σ = 80057901027. Its totient is φ = 19188000000.

The previous prime is 39950015617. The next prime is 39950015627. The reversal of 39950015625 is 52651005993.

The square root of 39950015625 is 199875.

It is a perfect power (a square), and thus also a powerful number.

39950015625 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 0 + 0 + 15 + 625 = 666.

It can be written as a sum of positive squares in 31 ways, for example, as 12550496841 + 27399518784 = 112029^2 + 165528^2 .

It is not a de Polignac number, because 39950015625 - 23 = 39950015617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (39950015627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 974390605 + ... + 974390645.

Almost surely, 239950015625 is an apocalyptic number.

39950015625 is the 199875-th square number.

39950015625 is the 99938-th centered octagonal number.

It is an amenable number.

39950015625 is an abundant number, since it is smaller than the sum of its proper divisors (40107885402).

39950015625 is an frugal number, since it uses more digits than its factorization.

39950015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 39950015625 in words is "thirty-nine billion, nine hundred fifty million, fifteen thousand, six hundred twenty-five".