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2987325 = 3252111771
BaseRepresentation
bin1011011001010100111101
312121202211200
423121110331
51231043300
6144010113
734251255
oct13312475
95552750
102987325
111760470
121000939
13807963
1457a965
153e0200
hex2d953d

2987325 has 72 divisors (see below), whose sum is σ = 6267456. Its totient is φ = 1344000.

The previous prime is 2987297. The next prime is 2987371. The reversal of 2987325 is 5237892.

It is a happy number.

It is not a de Polignac number, because 2987325 - 210 = 2986301 is a prime.

It is a super-2 number, since 2×29873252 = 17848221311250, which contains 22 as substring.

It is an Ulam number.

2987325 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2987325.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 42040 + ... + 42110.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

22987325 is an apocalyptic number.

2987325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2987325 is an abundant number, since it is smaller than the sum of its proper divisors (3280131).

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

2987325 is a wasteful number, since it uses less digits than its factorization.

2987325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2987325 is about 1728.3879772782. The cubic root of 2987325 is about 144.0215534867.

The spelling of 2987325 in words is "two million, nine hundred eighty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 71 75 85 99 153 165 187 213 225 255 275 355 425 495 561 639 765 781 825 935 1065 1207 1275 1683 1775 2343 2475 2805 3195 3621 3825 3905 4675 5325 6035 7029 8415 10863 11715 13277 14025 15975 18105 19525 30175 35145 39831 42075 54315 58575 66385 90525 119493 175725 199155 271575 331925 597465 995775 2987325