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3485856 = 253113301
BaseRepresentation
bin1101010011000010100000
320120002200210
431103002200
51343021411
6202414120
741425563
oct15230240
96502623
103485856
111a70a80
121201340
1395084a
1466a4da
1548cca6
hex3530a0

3485856 has 48 divisors (see below), whose sum is σ = 9985248. Its totient is φ = 1056000.

The previous prime is 3485851. The next prime is 3485869. The reversal of 3485856 is 6585843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3485851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 2706.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 23485856 is an apocalyptic number.

It is an amenable number.

3485856 is an abundant number, since it is smaller than the sum of its proper divisors (6499392).

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

3485856 is a wasteful number, since it uses less digits than its factorization.

3485856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3317 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 3485856 is about 1867.0447236207. The cubic root of 3485856 is about 151.6246509762.

The spelling of 3485856 in words is "three million, four hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3301 6602 9903 13204 19806 26408 36311 39612 52816 72622 79224 105632 108933 145244 158448 217866 290488 316896 435732 580976 871464 1161952 1742928 3485856