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3298779225 = 3252725472
BaseRepresentation
bin1100010010011111…
…0110000001011001
322111220020100101100
43010213312001121
523223441413400
61303200142013
7144514106100
oct30447660131
98456210340
103298779225
111443090725
12780907909
13407575791
1423417d037
15144911100
hexc49f6059

3298779225 has 81 divisors (see below), whose sum is σ = 6885718047. Its totient is φ = 1505256480.

The previous prime is 3298779193. The next prime is 3298779227. The reversal of 3298779225 is 5229778923.

The square root of 3298779225 is 57435.

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., 1187560521 + 2111218704 = 34461^2 + 45948^2 .

It is not a de Polignac number, because 3298779225 - 25 = 3298779193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3298779227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6030402 + ... + 6030948.

Almost surely, 23298779225 is an apocalyptic number.

3298779225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3298779225 is the 57435-th square number.

3298779225 is the 28718-th centered octagonal number.

It is an amenable number.

3298779225 is an abundant number, since it is smaller than the sum of its proper divisors (3586938822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3298779225 is an equidigital number, since it uses as much as digits as its factorization.

3298779225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 562 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The cubic root of 3298779225 is about 1488.6219447961.

The spelling of 3298779225 in words is "three billion, two hundred ninety-eight million, seven hundred seventy-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 547 735 1225 1575 1641 2205 2735 3675 3829 4923 8205 11025 11487 13675 19145 24615 26803 34461 41025 57435 80409 95725 123075 134015 172305 241227 287175 299209 402045 670075 861525 897627 1206135 1496045 2010225 2094463 2692881 4488135 6030675 6283389 7480225 10472315 13464405 14661241 18850167 22440675 31416945 43983723 52361575 67322025 73306205 94250835 131951169 157084725 219918615 366531025 471254175 659755845 1099593075 3298779225