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3312578025 = 345212792
BaseRepresentation
bin1100010101110001…
…1110110111101001
322112212012101210000
43011130132313221
523241004444100
61304412013213
7145042306611
oct30534366751
98485171700
103312578025
11144a955999
12785461209
1340a397453
14235d31a41
15145c39900
hexc571ede9

3312578025 has 45 divisors (see below), whose sum is σ = 6140840871. Its totient is φ = 1765326960.

The previous prime is 3312578023. The next prime is 3312578051. The reversal of 3312578025 is 5208752133.

It is a happy number.

The square root of 3312578025 is 57555.

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., 1192528089 + 2120049936 = 34533^2 + 46044^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3312578025 - 21 = 3312578023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3312578023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2589336 + ... + 2590614.

Almost surely, 23312578025 is an apocalyptic number.

3312578025 is the 57555-th square number.

3312578025 is the 28778-th centered octagonal number.

It is an amenable number.

3312578025 is a deficient number, since it is larger than the sum of its proper divisors (2828262846).

3312578025 is an frugal number, since it uses more digits than its factorization.

3312578025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 3312578025 is about 1490.6946935493.

Multiplying 3312578025 by its sum of digits (36), we get a square (119252808900 = 3453302).

The spelling of 3312578025 in words is "three billion, three hundred twelve million, five hundred seventy-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1279 2025 3837 6395 11511 19185 31975 34533 57555 95925 103599 172665 287775 517995 863325 1635841 2589975 4907523 8179205 14722569 24537615 40896025 44167707 73612845 122688075 132503121 220838535 368064225 662515605 1104192675 3312578025