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8490701025 = 325261432
BaseRepresentation
bin1111110100001010…
…11101000011100001
3210220201202022011100
413322011131003201
5114342104413100
63522305105013
7420256524252
oct77205350341
923821668140
108490701025
113667863394
12178b628169
13a540c0761
145a791cb29
1534a628400
hex1fa15d0e1

8490701025 has 27 divisors (see below), whose sum is σ = 15210264979. Its totient is φ = 4527636720.

The previous prime is 8490701003. The next prime is 8490701039. The reversal of 8490701025 is 5201070948.

The square root of 8490701025 is 92145.

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

It can be written as a sum of positive squares in only one way, i.e., 3056652369 + 5434048656 = 55287^2 + 73716^2 .

It is not a de Polignac number, because 8490701025 - 29 = 8490700513 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1379104 + ... + 1385246.

Almost surely, 28490701025 is an apocalyptic number.

8490701025 is the 92145-th square number.

8490701025 is the 46073-rd centered octagonal number.

It is an amenable number.

8490701025 is a deficient number, since it is larger than the sum of its proper divisors (6719563954).

8490701025 is an frugal number, since it uses more digits than its factorization.

8490701025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 8490701025 is about 2040.0830596228.

Multiplying 8490701025 by its sum of digits (36), we get a square (305665236900 = 5528702).

The spelling of 8490701025 in words is "eight billion, four hundred ninety million, seven hundred one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6143 18429 30715 55287 92145 153575 276435 460725 1382175 37736449 113209347 188682245 339628041 566046735 943411225 1698140205 2830233675 8490701025