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16838496 = 253319489
BaseRepresentation
bin100000000111…
…0111101100000
31011200111002000
41000032331200
513302312441
61400524000
7263060553
oct100167540
934614060
1016838496
119561014
125780600
13364740c
14234469a
1517292b6
hex100ef60

16838496 has 48 divisors (see below), whose sum is σ = 49114800. Its totient is φ = 5612544.

The previous prime is 16838491. The next prime is 16838509. The reversal of 16838496 is 69483861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16838491) 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, 8881 + ... + 10608.

It is an arithmetic number, because the mean of its divisors is an integer number (1023225).

Almost surely, 216838496 is an apocalyptic number.

16838496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16838496 is an abundant number, since it is smaller than the sum of its proper divisors (32276304).

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

16838496 is a wasteful number, since it uses less digits than its factorization.

16838496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19508 (or 19494 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 16838496 is about 4103.4736504576. The cubic root of 16838496 is about 256.3113074806.

The spelling of 16838496 in words is "sixteen million, eight hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 19489 38978 58467 77956 116934 155912 175401 233868 311824 350802 467736 526203 623648 701604 935472 1052406 1403208 1870944 2104812 2806416 4209624 5612832 8419248 16838496