Search a number
-
+
3275272900 = 2252592972
BaseRepresentation
bin1100001100111000…
…1011001011000100
322110021000002202201
43003032023023010
523201432213100
61301000244244
7144110234404
oct30316131304
98407002681
103275272900
111430896009
12774a70684
13402735403
14230dc0804
1514281b36a
hexc338b2c4

3275272900 has 81 divisors (see below), whose sum is σ = 7305150279. Its totient is φ = 1274626560.

The previous prime is 3275272883. The next prime is 3275272901. The reversal of 3275272900 is 92725723.

The square root of 3275272900 is 57230.

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 120428676 + 3154844224 = 10974^2 + 56168^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3275272900.

It is not an unprimeable number, because it can be changed into a prime (3275272901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33765652 + ... + 33765748.

Almost surely, 23275272900 is an apocalyptic number.

3275272900 is the 57230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3275272900

3275272900 is an abundant number, since it is smaller than the sum of its proper divisors (4029877379).

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

3275272900 is an equidigital number, since it uses as much as digits as its factorization.

3275272900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The cubic root of 3275272900 is about 1485.0776561929.

The spelling of 3275272900 in words is "three billion, two hundred seventy-five million, two hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 97 100 118 194 236 295 388 485 590 970 1180 1475 1940 2425 2950 3481 4850 5723 5900 6962 9409 9700 11446 13924 17405 18818 22892 28615 34810 37636 47045 57230 69620 87025 94090 114460 143075 174050 188180 235225 286150 337657 348100 470450 555131 572300 675314 940900 1110262 1350628 1688285 2220524 2775655 3376570 5551310 6753140 8441425 11102620 13878275 16882850 27756550 32752729 33765700 55513100 65505458 131010916 163763645 327527290 655054580 818818225 1637636450 3275272900