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1950547225 = 52114732
BaseRepresentation
bin111010001000010…
…1111110100011001
312000221022001202211
41310100233310121
512443320002400
6521314555121
766223243414
oct16420576431
95027261684
101950547225
11911040000
12465298aa1
13251151073
141470a4b7b
15b6394dba
hex7442fd19

1950547225 has 45 divisors (see below), whose sum is σ = 2697474765. Its totient is φ = 1399147200.

The previous prime is 1950547217. The next prime is 1950547259. The reversal of 1950547225 is 5227450591.

It is a happy number.

The square root of 1950547225 is 44165.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10673289 + 1939873936 = 3267^2 + 44044^2 .

It is not a de Polignac number, because 1950547225 - 23 = 1950547217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26719789 + ... + 26719861.

Almost surely, 21950547225 is an apocalyptic number.

1950547225 is the 44165-th square number.

1950547225 is the 22083-rd centered octagonal number.

It is an amenable number.

1950547225 is a deficient number, since it is larger than the sum of its proper divisors (746927540).

1950547225 is an frugal number, since it uses more digits than its factorization.

1950547225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The cubic root of 1950547225 is about 1249.4498325548.

The spelling of 1950547225 in words is "one billion, nine hundred fifty million, five hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 73 121 275 365 605 803 1331 1825 3025 4015 5329 6655 8833 14641 20075 26645 33275 44165 58619 73205 97163 133225 220825 293095 366025 485815 644809 1068793 1465475 2429075 3224045 5343965 7092899 16120225 26719825 35464495 78021889 177322475 390109445 1950547225