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4965345 = 3257111433
BaseRepresentation
bin10010111100001111100001
3100100021011200
4102330033201
52232342340
6254231413
760130140
oct22741741
910307150
104965345
1128915a0
1217b5569
13104b098
14933757
15681330
hex4bc3e1

4965345 has 48 divisors (see below), whose sum is σ = 10737792. Its totient is φ = 2062080.

The previous prime is 4965307. The next prime is 4965347. The reversal of 4965345 is 5435694.

It is a happy number.

4965345 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 4965345 - 28 = 4965089 is a prime.

It is a Curzon number.

4965345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4965347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2749 + ... + 4181.

It is an arithmetic number, because the mean of its divisors is an integer number (223704).

Almost surely, 24965345 is an apocalyptic number.

4965345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4965345 is an abundant number, since it is smaller than the sum of its proper divisors (5772447).

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

4965345 is a wasteful number, since it uses less digits than its factorization.

4965345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1459 counting only the distinct ones).

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

The square root of 4965345 is about 2228.3054099472. The cubic root of 4965345 is about 170.6016169704.

The spelling of 4965345 in words is "four million, nine hundred sixty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 1433 3465 4299 7165 10031 12897 15763 21495 30093 47289 50155 64485 78815 90279 110341 141867 150465 236445 331023 451395 551705 709335 993069 1655115 4965345