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16813472 = 251323109
BaseRepresentation
bin100000000100…
…0110110100000
31011122012202012
41000020312200
513301012342
61400212052
7262624604
oct100106640
934565665
1016813472
119544235
12576a028
133638c00
142339504
151721b82
hex1008da0

16813472 has 36 divisors (see below), whose sum is σ = 35855190. Its totient is φ = 7757568.

The previous prime is 16813463. The next prime is 16813481. The reversal of 16813472 is 27431861.

It is an interprime number because it is at equal distance from previous prime (16813463) and next prime (16813481).

It can be written as a sum of positive squares in 3 ways, for example, as 5550736 + 11262736 = 2356^2 + 3356^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3854 + ... + 6962.

Almost surely, 216813472 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 16813472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927595).

16813472 is an abundant number, since it is smaller than the sum of its proper divisors (19041718).

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

16813472 is a wasteful number, since it uses less digits than its factorization.

16813472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3124 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 16813472 is about 4100.4233927730. The cubic root of 16813472 is about 256.1842748748.

The spelling of 16813472 in words is "sixteen million, eight hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 3109 5408 6218 12436 24872 40417 49744 80834 99488 161668 323336 525421 646672 1050842 1293344 2101684 4203368 8406736 16813472