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4935645 = 3251113259
BaseRepresentation
bin10010110100111111011101
3100021202102200
4102310333131
52230420040
6253442113
756644431
oct22647735
910252380
104935645
112871250
1217a0339
13103a700
149269c1
15677630
hex4b4fdd

4935645 has 72 divisors (see below), whose sum is σ = 10277280. Its totient is φ = 2171520.

The previous prime is 4935641. The next prime is 4935647. The reversal of 4935645 is 5465394.

It is a happy number.

4935645 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 645 = 666.

It is not a de Polignac number, because 4935645 - 22 = 4935641 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83626 + ... + 83684.

It is an arithmetic number, because the mean of its divisors is an integer number (142740).

Almost surely, 24935645 is an apocalyptic number.

4935645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4935645 is an abundant number, since it is smaller than the sum of its proper divisors (5341635).

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

4935645 is a wasteful number, since it uses less digits than its factorization.

4935645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 4935645 is about 2221.6311575057. The cubic root of 4935645 is about 170.2607877398.

The spelling of 4935645 in words is "four million, nine hundred thirty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 59 65 99 117 143 165 169 177 195 295 429 495 507 531 585 649 715 767 845 885 1287 1521 1859 1947 2145 2301 2535 2655 3245 3835 5577 5841 6435 6903 7605 8437 9295 9735 9971 11505 16731 25311 27885 29205 29913 34515 42185 49855 75933 83655 89739 109681 126555 149565 329043 379665 448695 548405 987129 1645215 4935645