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4285353465 = 335157202187
BaseRepresentation
bin1111111101101101…
…0100110111111001
3102001122122111211000
43333123110313321
532234022302330
61545121555213
7211123621611
oct37733246771
912048574730
104285353465
1118a9a74538
129b71a5b09
13533a91a13
142c91d3a41
151a133e560
hexff6d4df9

4285353465 has 32 divisors (see below), whose sum is σ = 7666968960. Its totient is φ = 2270953152.

The previous prime is 4285353463. The next prime is 4285353481. The reversal of 4285353465 is 5643535824.

4285353465 is a `hidden beast` number, since 4 + 2 + 8 + 53 + 534 + 65 = 666.

It is not a de Polignac number, because 4285353465 - 21 = 4285353463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4285353465.

It is not an unprimeable number, because it can be changed into a prime (4285353463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79899 + ... + 122288.

It is an arithmetic number, because the mean of its divisors is an integer number (239592780).

Almost surely, 24285353465 is an apocalyptic number.

4285353465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4285353465 is a deficient number, since it is larger than the sum of its proper divisors (3381615495).

4285353465 is a wasteful number, since it uses less digits than its factorization.

4285353465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202358 (or 202352 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 4285353465 is about 65462.6111990654. The cubic root of 4285353465 is about 1624.2849354090.

The spelling of 4285353465 in words is "four billion, two hundred eighty-five million, three hundred fifty-three thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 157 471 785 1413 2355 4239 7065 21195 202187 606561 1010935 1819683 3032805 5459049 9098415 27295245 31743359 95230077 158716795 285690231 476150385 857070693 1428451155 4285353465