Search a number
-
+
16292256 = 2531767149
BaseRepresentation
bin111110001001…
…100110100000
31010122201202220
4332021212200
513132323011
61341111040
7255324201
oct76114640
933581686
1016292256
119218682
125558480
1334b58b6
1422415a8
15166c506
hexf899a0

16292256 has 96 divisors (see below), whose sum is σ = 46267200. Its totient is φ = 5001216.

The previous prime is 16292207. The next prime is 16292281. The reversal of 16292256 is 65229261.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109270 + ... + 109418.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 216292256 is an apocalyptic number.

16292256 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 16292256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133600).

16292256 is an abundant number, since it is smaller than the sum of its proper divisors (29974944).

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

16292256 is a wasteful number, since it uses less digits than its factorization.

16292256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 16292256 is about 4036.3666830455. The cubic root of 16292256 is about 253.5092099716.

The spelling of 16292256 in words is "sixteen million, two hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 149 201 204 268 272 298 402 408 447 536 544 596 804 816 894 1072 1139 1192 1608 1632 1788 2144 2278 2384 2533 3216 3417 3576 4556 4768 5066 6432 6834 7152 7599 9112 9983 10132 13668 14304 15198 18224 19966 20264 27336 29949 30396 36448 39932 40528 54672 59898 60792 79864 81056 109344 119796 121584 159728 169711 239592 243168 319456 339422 479184 509133 678844 958368 1018266 1357688 2036532 2715376 4073064 5430752 8146128 16292256