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16278444 = 22327134969
BaseRepresentation
bin111110000110…
…001110101100
31010122000211100
4332012032230
513131402234
61340523100
7255236010
oct76061654
933560740
1016278444
119209266
125550490
1334ac520
14223a540
151668399
hexf863ac

16278444 has 72 divisors (see below), whose sum is σ = 50654240. Its totient is φ = 4292352.

The previous prime is 16278433. The next prime is 16278461. The reversal of 16278444 is 44487261.

It is a super-2 number, since 2×162784442 = 529975478122272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16278399 and 16278408.

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 23 ways as a sum of consecutive naturals, for example, 792 + ... + 5760.

Almost surely, 216278444 is an apocalyptic number.

16278444 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 16278444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327120).

16278444 is an abundant number, since it is smaller than the sum of its proper divisors (34375796).

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

16278444 is a wasteful number, since it uses less digits than its factorization.

16278444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4994 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 16278444 is about 4034.6553756176. The cubic root of 16278444 is about 253.4375509955.

It can be divided in two parts, 162 and 78444, that added together give a triangular number (78606 = T396).

The spelling of 16278444 in words is "sixteen million, two hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 4969 9938 14907 19876 29814 34783 44721 59628 64597 69566 89442 104349 129194 139132 178884 193791 208698 258388 313047 387582 417396 452179 581373 626094 775164 904358 1162746 1252188 1356537 1808716 2325492 2713074 4069611 5426148 8139222 16278444