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16422816 = 2531729347
BaseRepresentation
bin111110101001…
…011110100000
31010220100212110
4332221132200
513201012231
61343555320
7256406634
oct76513640
933810773
1016422816
1192a7783
1255bbb40
133530157
142276dc4
151696046
hexfa97a0

16422816 has 96 divisors (see below), whose sum is σ = 47355840. Its totient is φ = 4960256.

The previous prime is 16422803. The next prime is 16422829. The reversal of 16422816 is 61822461.

It is an interprime number because it is at equal distance from previous prime (16422803) and next prime (16422829).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47155 + ... + 47501.

It is an arithmetic number, because the mean of its divisors is an integer number (493290).

Almost surely, 216422816 is an apocalyptic number.

16422816 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 16422816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677920).

16422816 is an abundant number, since it is smaller than the sum of its proper divisors (30933024).

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

16422816 is a wasteful number, since it uses less digits than its factorization.

16422816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 16422816 is about 4052.5073719859. The cubic root of 16422816 is about 254.1845848636.

The spelling of 16422816 in words is "sixteen million, four hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 347 348 408 464 493 544 694 696 816 928 986 1041 1388 1392 1479 1632 1972 2082 2776 2784 2958 3944 4164 5552 5899 5916 7888 8328 10063 11104 11798 11832 15776 16656 17697 20126 23596 23664 30189 33312 35394 40252 47192 47328 60378 70788 80504 94384 120756 141576 161008 171071 188768 241512 283152 322016 342142 483024 513213 566304 684284 966048 1026426 1368568 2052852 2737136 4105704 5474272 8211408 16422816