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4764825 = 345213181
BaseRepresentation
bin10010001011010010011001
322222002010000
4102023102121
52204433300
6250043213
755333422
oct22132231
98862100
104764825
11276497a
121719509
13caaa30
148c0649
15641c00
hex48b499

4764825 has 60 divisors (see below), whose sum is σ = 9557548. Its totient is φ = 2332800.

The previous prime is 4764821. The next prime is 4764853. The reversal of 4764825 is 5284674.

4764825 is a `hidden beast` number, since 4 + 7 + 648 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1871424 + 2893401 = 1368^2 + 1701^2 .

It is not a de Polignac number, because 4764825 - 22 = 4764821 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

4764825 is a lucky number.

It is a nialpdrome in base 9 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4764825.

It is not an unprimeable number, because it can be changed into a prime (4764821) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26235 + ... + 26415.

Almost surely, 24764825 is an apocalyptic number.

4764825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4764825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4764825 is a wasteful number, since it uses less digits than its factorization.

4764825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4764825 is about 2182.8479104143. The cubic root of 4764825 is about 168.2734704196.

The spelling of 4764825 in words is "four million, seven hundred sixty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 181 195 225 325 351 405 543 585 675 905 975 1053 1629 1755 2025 2353 2715 2925 4525 4887 5265 7059 8145 8775 11765 13575 14661 21177 24435 26325 35295 40725 58825 63531 73305 105885 122175 176475 190593 317655 366525 529425 952965 1588275 4764825