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9215040025 = 527322632
BaseRepresentation
bin10001001010100001…
…00101101000011001
3212210012201112110201
420211100211220121
5122333022240100
64122222142201
7444233355622
oct104520455031
925705645421
109215040025
1139a9716a64
121952121961
13b3b1a2209
14635bd0a49
1538e00736a
hex225425a19

9215040025 has 27 divisors (see below), whose sum is σ = 11629541469. Its totient is φ = 7243398720.

The previous prime is 9215040017. The next prime is 9215040031. The reversal of 9215040025 is 5200405129.

The square root of 9215040025 is 95995.

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 50424201 + 9164615824 = 7101^2 + 95732^2 .

It is not a de Polignac number, because 9215040025 - 23 = 9215040017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9215039975 and 9215040002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35038044 + ... + 35038306.

Almost surely, 29215040025 is an apocalyptic number.

9215040025 is the 95995-th square number.

9215040025 is the 47998-th centered octagonal number.

It is an amenable number.

9215040025 is a deficient number, since it is larger than the sum of its proper divisors (2414501444).

9215040025 is an frugal number, since it uses more digits than its factorization.

9215040025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 9215040025 is about 2096.5203163631.

Multiplying 9215040025 by its product of nonzero digits (3600), we get a square (33174144090000 = 57597002).

The spelling of 9215040025 in words is "nine billion, two hundred fifteen million, forty thousand, twenty-five".

Divisors: 1 5 25 73 263 365 1315 1825 5329 6575 19199 26645 69169 95995 133225 345845 479975 1401527 1729225 5049337 7007635 25246685 35038175 126233425 368601601 1843008005 9215040025