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4122912 = 25367641
BaseRepresentation
bin1111101110100100100000
321202110120110
433232210200
52023413122
6224211320
750021103
oct17564440
97673513
104122912
112366672
121469b40
13b147c1
1479473a
1556690c
hex3ee920

4122912 has 48 divisors (see below), whose sum is σ = 11001312. Its totient is φ = 1351680.

The previous prime is 4122893. The next prime is 4122913. The reversal of 4122912 is 2192214.

4122912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (4122913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6112 + ... + 6752.

It is an arithmetic number, because the mean of its divisors is an integer number (229194).

Almost surely, 24122912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500656).

4122912 is an abundant number, since it is smaller than the sum of its proper divisors (6878400).

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

4122912 is a wasteful number, since it uses less digits than its factorization.

4122912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 4122912 is about 2030.4955060280. The cubic root of 4122912 is about 160.3496520068.

The spelling of 4122912 in words is "four million, one hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 641 804 1072 1282 1608 1923 2144 2564 3216 3846 5128 6432 7692 10256 15384 20512 30768 42947 61536 85894 128841 171788 257682 343576 515364 687152 1030728 1374304 2061456 4122912