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16404444 = 223572411
BaseRepresentation
bin111110100100…
…111111011100
31010212102200000
4332210333130
513144420234
61343334300
7256302240
oct76447734
933772600
1016404444
1192949a1
1255b1390
133524994
142270420
151690899
hexfa4fdc

16404444 has 72 divisors (see below), whose sum is σ = 49166208. Its totient is φ = 4685040.

The previous prime is 16404413. The next prime is 16404449. The reversal of 16404444 is 44440461.

It is a Harshad number since it is a multiple of its sum of digits (27).

16404444 is a modest number, since divided by 4444 gives 1640 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16404449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5599 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (682864).

Almost surely, 216404444 is an apocalyptic number.

16404444 is a gapful number since it is divisible by the number (14) 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 16404444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24583104).

16404444 is an abundant number, since it is smaller than the sum of its proper divisors (32761764).

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

16404444 is a wasteful number, since it uses less digits than its factorization.

16404444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 16404444 is about 4050.2399928893. The cubic root of 16404444 is about 254.0897651190.

It can be divided in two parts, 1640 and 4444, that added together give a square (6084 = 782).

The spelling of 16404444 in words is "sixteen million, four hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 2411 3402 4822 6804 7233 9644 14466 16877 21699 28932 33754 43398 50631 65097 67508 86796 101262 130194 151893 195291 202524 260388 303786 390582 455679 585873 607572 781164 911358 1171746 1367037 1822716 2343492 2734074 4101111 5468148 8202222 16404444