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268070592 = 2631578893
BaseRepresentation
bin11111111101001…
…10111011000000
3200200102101201110
433332212323000
51022111224332
642333403320
76433363626
oct1776467300
9620371643
10268070592
11128356449
1275939540
13436cb86a
1427861516
15188034cc
hexffa6ec0

268070592 has 56 divisors (see below), whose sum is σ = 713868016. Its totient is φ = 88777728.

The previous prime is 268070591. The next prime is 268070597. The reversal of 268070592 is 295070862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 268070592.

It is not an unprimeable number, because it can be changed into a prime (268070591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25698 + ... + 34590.

Almost surely, 2268070592 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 268070592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356934008).

268070592 is an abundant number, since it is smaller than the sum of its proper divisors (445797424).

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

268070592 is a wasteful number, since it uses less digits than its factorization.

268070592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 268070592 is about 16372.8614481403. The cubic root of 268070592 is about 644.7871757430.

The spelling of 268070592 in words is "two hundred sixty-eight million, seventy thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 8893 10048 15072 17786 26679 30144 35572 53358 71144 106716 142288 213432 284576 426864 569152 853728 1396201 1707456 2792402 4188603 5584804 8377206 11169608 16754412 22339216 33508824 44678432 67017648 89356864 134035296 268070592