Search a number
-
+
268395024 = 24331317569
BaseRepresentation
bin11111111111101…
…10001000010000
3200201000212202110
433333312020100
51022202120044
642344345320
76436214532
oct1777661020
9621025673
10268395024
11128558177
1275a75240
13437b3431
1427907852
15188696b9
hexfff6210

268395024 has 80 divisors (see below), whose sum is σ = 719239680. Its totient is φ = 86154240.

The previous prime is 268395013. The next prime is 268395037. The reversal of 268395024 is 420593862.

It is a happy number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471412 + ... + 471980.

It is an arithmetic number, because the mean of its divisors is an integer number (8990496).

Almost surely, 2268395024 is an apocalyptic number.

268395024 is a gapful number since it is divisible by the number (24) 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 268395024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359619840).

268395024 is an abundant number, since it is smaller than the sum of its proper divisors (450844656).

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

268395024 is a wasteful number, since it uses less digits than its factorization.

268395024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 268395024 is about 16382.7660668155. The cubic root of 268395024 is about 645.0471884231.

The spelling of 268395024 in words is "two hundred sixty-eight million, three hundred ninety-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 317 372 496 569 634 744 951 1138 1268 1488 1707 1902 2276 2536 3414 3804 4552 5072 6828 7608 9104 9827 13656 15216 17639 19654 27312 29481 35278 39308 52917 58962 70556 78616 105834 117924 141112 157232 180373 211668 235848 282224 360746 423336 471696 541119 721492 846672 1082238 1442984 2164476 2885968 4328952 5591563 8657904 11183126 16774689 22366252 33549378 44732504 67098756 89465008 134197512 268395024