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4172896 = 257131433
BaseRepresentation
bin1111111010110001100000
321212000010201
433322301200
52032013041
6225234544
750316610
oct17726140
97760121
104172896
1123a0182
121492a54
13b31490
147a8a40
15576631
hex3fac60

4172896 has 48 divisors (see below), whose sum is σ = 10118304. Its totient is φ = 1649664.

The previous prime is 4172887. The next prime is 4172929. The reversal of 4172896 is 6982714.

It is a super-2 number, since 2×41728962 = 34826122053632, which contains 22 as substring.

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, 2196 + ... + 3628.

It is an arithmetic number, because the mean of its divisors is an integer number (210798).

Almost surely, 24172896 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 4172896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059152).

4172896 is an abundant number, since it is smaller than the sum of its proper divisors (5945408).

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

4172896 is a wasteful number, since it uses less digits than its factorization.

4172896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1455 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 4172896 is about 2042.7667512469. The cubic root of 4172896 is about 160.9950489071.

The spelling of 4172896 in words is "four million, one hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1433 1456 2866 2912 5732 10031 11464 18629 20062 22928 37258 40124 45856 74516 80248 130403 149032 160496 260806 298064 320992 521612 596128 1043224 2086448 4172896