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268173376 = 26232892
BaseRepresentation
bin11111111110000…
…00000001000000
3200200121121201021
433333000001000
51022123022001
642335515224
76434302402
oct1777000100
9620547637
10268173376
11128416699
1275988b14
1343736593
142788ab72
1518823ba1
hexffc0040

268173376 has 63 divisors (see below), whose sum is σ = 562620541. Its totient is φ = 126815744.

The previous prime is 268173341. The next prime is 268173379. The reversal of 268173376 is 673371862.

The square root of 268173376 is 16376.

It is a perfect power (a square), and thus also a powerful number.

268173376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51494976 + 216678400 = 7176^2 + 14720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268173379) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3013140 + ... + 3013228.

Almost surely, 2268173376 is an apocalyptic number.

268173376 is the 16376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268173376

268173376 is an abundant number, since it is smaller than the sum of its proper divisors (294447165).

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

268173376 is an frugal number, since it uses more digits than its factorization.

268173376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 114 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The cubic root of 268173376 is about 644.8695736120.

Multiplying 268173376 by its product of digits (254016), we get a square (68120328278016 = 82535042).

The spelling of 268173376 in words is "two hundred sixty-eight million, one hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 178 184 356 368 529 712 736 1058 1424 1472 2047 2116 2848 4094 4232 5696 7921 8188 8464 15842 16376 16928 31684 32752 33856 47081 63368 65504 94162 126736 131008 182183 188324 253472 364366 376648 506944 728732 753296 1457464 1506592 2914928 3013184 4190209 5829856 8380418 11659712 16760836 33521672 67043344 134086688 268173376