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2978625 = 35313247
BaseRepresentation
bin1011010111001101000001
312121022220110
423113031001
51230304000
6143501533
734214016
oct13271501
95538813
102978625
111754981
12bb78a9
13803a00
1457770d
153dc850
hex2d7341

2978625 has 48 divisors (see below), whose sum is σ = 5481216. Its totient is φ = 1435200.

The previous prime is 2978593. The next prime is 2978627. The reversal of 2978625 is 5268792.

It is a happy number.

2978625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2978625 - 25 = 2978593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a d-powerful number, because it can be written as 219 + 96 + 77 + 84 + 66 + 220 + 52 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2978627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63352 + ... + 63398.

It is an arithmetic number, because the mean of its divisors is an integer number (114192).

22978625 is an apocalyptic number.

2978625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2978625 is a deficient number, since it is larger than the sum of its proper divisors (2502591).

2978625 is a wasteful number, since it uses less digits than its factorization.

2978625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2978625 is about 1725.8693461557. The cubic root of 2978625 is about 143.8816060033.

The spelling of 2978625 in words is "two million, nine hundred seventy-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 47 65 75 125 141 169 195 235 325 375 507 611 705 845 975 1175 1625 1833 2535 3055 3525 4225 4875 5875 7943 9165 12675 15275 17625 21125 23829 39715 45825 63375 76375 119145 198575 229125 595725 992875 2978625