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3209789025 = 345212592
BaseRepresentation
bin1011111101010001…
…0111111001100001
322021200210011210000
42333110113321201
523033201222100
61250300530213
7142353520332
oct27724277141
98250704700
103209789025
1113a792a003
12756b50969
133c1cb8361
14226416289
1513bbd3900
hexbf517e61

3209789025 has 45 divisors (see below), whose sum is σ = 5950365091. Its totient is φ = 1710527760.

The previous prime is 3209789003. The next prime is 3209789027. The reversal of 3209789025 is 5209879023.

The square root of 3209789025 is 56655.

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., 1155524049 + 2054264976 = 33993^2 + 45324^2 .

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

It is not a de Polignac number, because 3209789025 - 215 = 3209756257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3209789027) 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, 2548846 + ... + 2550104.

Almost surely, 23209789025 is an apocalyptic number.

3209789025 is the 56655-th square number.

3209789025 is the 28328-th centered octagonal number.

It is an amenable number.

3209789025 is a deficient number, since it is larger than the sum of its proper divisors (2740576066).

3209789025 is an frugal number, since it uses more digits than its factorization.

3209789025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 3209789025 is about 1475.1136980248.

The spelling of 3209789025 in words is "three billion, two hundred nine million, seven hundred eighty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1259 2025 3777 6295 11331 18885 31475 33993 56655 94425 101979 169965 283275 509895 849825 1585081 2549475 4755243 7925405 14265729 23776215 39627025 42797187 71328645 118881075 128391561 213985935 356643225 641957805 1069929675 3209789025