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4426688 = 26741241
BaseRepresentation
bin10000111000101111000000
322022220021102
4100320233000
52113123223
6234513532
752424540
oct20705700
98286242
104426688
112553922
1215958a8
13bbcb56
14833320
155c6928
hex438bc0

4426688 has 56 divisors (see below), whose sum is σ = 10326624. Its totient is φ = 1843200.

The previous prime is 4426673. The next prime is 4426699. The reversal of 4426688 is 8866244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18248 + ... + 18488.

It is an arithmetic number, because the mean of its divisors is an integer number (184404).

Almost surely, 24426688 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 4426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163312).

4426688 is an abundant number, since it is smaller than the sum of its proper divisors (5899936).

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

4426688 is a wasteful number, since it uses less digits than its factorization.

4426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 4426688 is about 2103.9695815292. The cubic root of 4426688 is about 164.1948902606.

It can be divided in two parts, 442 and 6688, that multiplied together give a triangular number (2956096 = T2431).

The spelling of 4426688 in words is "four million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 241 287 328 448 482 574 656 964 1148 1312 1687 1928 2296 2624 3374 3856 4592 6748 7712 9184 9881 13496 15424 18368 19762 26992 39524 53984 69167 79048 107968 138334 158096 276668 316192 553336 632384 1106672 2213344 4426688