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14775964 = 2272931587
BaseRepresentation
bin111000010111…
…011010011100
31000210200210221
4320113122130
512240312324
61244411124
7236410420
oct70273234
930720727
1014775964
118382445
124b46aa4
1330a4698
141d68b80
15146d0e4
hexe1769c

14775964 has 48 divisors (see below), whose sum is σ = 31610880. Its totient is φ = 5906880.

The previous prime is 14775953. The next prime is 14775967. The reversal of 14775964 is 46957741.

It is a super-2 number, since 2×147759642 = 436658224258592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14775964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14775967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24879 + ... + 25465.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 214775964 is an apocalyptic number.

14775964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14775964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805440).

14775964 is an abundant number, since it is smaller than the sum of its proper divisors (16834916).

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

14775964 is a wasteful number, since it uses less digits than its factorization.

14775964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The square root of 14775964 is about 3843.9516125987. The cubic root of 14775964 is about 245.3872205261.

The spelling of 14775964 in words is "fourteen million, seven hundred seventy-five thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 587 812 868 899 1174 1798 2348 3596 4109 6293 8218 12586 16436 17023 18197 25172 34046 36394 68092 72788 119161 127379 238322 254758 476644 509516 527713 1055426 2110852 3693991 7387982 14775964