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16426644 = 22313293631
BaseRepresentation
bin111110101010…
…011010010100
31010220120010020
4332222122110
513201123034
61344025140
7256424043
oct76523224
933816106
1016426644
1192aa643
1256021b0
133531b10
14227855a
151697249
hexfaa694

16426644 has 48 divisors (see below), whose sum is σ = 42712320. Its totient is φ = 4878720.

The previous prime is 16426643. The next prime is 16426681. The reversal of 16426644 is 44662461.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16426643) by changing a digit.

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, 2709 + ... + 6339.

It is an arithmetic number, because the mean of its divisors is an integer number (889840).

Almost surely, 216426644 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 16426644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356160).

16426644 is an abundant number, since it is smaller than the sum of its proper divisors (26285676).

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

16426644 is a wasteful number, since it uses less digits than its factorization.

16426644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3678 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 16426644 is about 4052.9796446565. The cubic root of 16426644 is about 254.2043326543.

The spelling of 16426644 in words is "sixteen million, four hundred twenty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 3631 4524 7262 10893 14524 21786 43572 47203 94406 105299 141609 188812 210598 283218 315897 421196 566436 631794 1263588 1368887 2737774 4106661 5475548 8213322 16426644