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2972025 = 335271737
BaseRepresentation
bin1011010101100101111001
312120222212000
423111211321
51230101100
6143411213
734155540
oct13254571
95528760
102972025
11174aa21
12bb3b09
138009c4
14575157
153da900
hex2d5979

2972025 has 96 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 1244160.

The previous prime is 2971993. The next prime is 2972027. The reversal of 2972025 is 5202792.

It is a happy number.

It is not a de Polignac number, because 2972025 - 25 = 2971993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2972025.

It is not an unprimeable number, because it can be changed into a prime (2972027) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 80307 + ... + 80343.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

22972025 is an apocalyptic number.

2972025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2972025 is an abundant number, since it is smaller than the sum of its proper divisors (3813255).

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

2972025 is a wasteful number, since it uses less digits than its factorization.

2972025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2972025 is about 1723.9562059403. The cubic root of 2972025 is about 143.7752570617.

The spelling of 2972025 in words is "two million, nine hundred seventy-two thousand, twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 37 45 51 63 75 85 105 111 119 135 153 175 185 189 225 255 259 315 333 357 425 459 525 555 595 629 675 765 777 925 945 999 1071 1275 1295 1575 1665 1785 1887 2295 2331 2775 2975 3145 3213 3825 3885 4403 4725 4995 5355 5661 6475 6993 8325 8925 9435 11475 11655 13209 15725 16065 16983 19425 22015 24975 26775 28305 34965 39627 47175 58275 66045 80325 84915 110075 118881 141525 174825 198135 330225 424575 594405 990675 2972025