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100048525 = 524618681
BaseRepresentation
bin1011111011010…
…01111010001101
320222020222202221
411331221322031
5201103023100
613532215341
72323253443
oct575517215
9228228687
10100048525
1151524a35
122960a551
131795c915
14d404b93
158bb401a
hex5f69e8d

100048525 has 12 divisors (see below), whose sum is σ = 124343604. Its totient is φ = 79856000.

The previous prime is 100048517. The next prime is 100048541. The reversal of 100048525 is 525840001.

It can be written as a sum of positive squares in 6 ways, for example, as 328329 + 99720196 = 573^2 + 9986^2 .

It is not a de Polignac number, because 100048525 - 23 = 100048517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100048525.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7185 + ... + 15865.

It is an arithmetic number, because the mean of its divisors is an integer number (10361967).

Almost surely, 2100048525 is an apocalyptic number.

It is an amenable number.

100048525 is a deficient number, since it is larger than the sum of its proper divisors (24295079).

100048525 is an equidigital number, since it uses as much as digits as its factorization.

100048525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 100048525 is about 10002.4259557369. The cubic root of 100048525 is about 464.2339489201.

Adding to 100048525 its reverse (525840001), we get a palindrome (625888526).

The spelling of 100048525 in words is "one hundred million, forty-eight thousand, five hundred twenty-five".

Divisors: 1 5 25 461 2305 8681 11525 43405 217025 4001941 20009705 100048525