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16893856 = 257531423
BaseRepresentation
bin100000001110…
…0011110100000
31011210022000101
41000130132200
513311100411
61402032144
7263411140
oct100343640
934708011
1016893856
119599671
1257a8654
133666685
14235a920
15173a8c1
hex101c7a0

16893856 has 48 divisors (see below), whose sum is σ = 38755584. Its totient is φ = 7098624.

The previous prime is 16893847. The next prime is 16893857. The reversal of 16893856 is 65839861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16893857) 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, 11161 + ... + 12583.

It is an arithmetic number, because the mean of its divisors is an integer number (807408).

Almost surely, 216893856 is an apocalyptic number.

16893856 is a gapful number since it is divisible by the number (16) 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 16893856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19377792).

16893856 is an abundant number, since it is smaller than the sum of its proper divisors (21861728).

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

16893856 is a wasteful number, since it uses less digits than its factorization.

16893856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 16893856 is about 4110.2136197526. The cubic root of 16893856 is about 256.5918921628.

The spelling of 16893856 in words is "sixteen million, eight hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1423 1484 1696 2846 2968 5692 5936 9961 11384 11872 19922 22768 39844 45536 75419 79688 150838 159376 301676 318752 527933 603352 1055866 1206704 2111732 2413408 4223464 8446928 16893856