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268063488 = 28327111511
BaseRepresentation
bin11111111101001…
…01001100000000
3200200102000222100
433332211030000
51022111012423
642333310400
76433334130
oct1776451400
9620360870
10268063488
11128351080
1275935400
13436c8564
142785cac0
1518801343
hexffa5300

268063488 has 216 divisors, whose sum is σ = 964244736. Its totient is φ = 69580800.

The previous prime is 268063451. The next prime is 268063489. The reversal of 268063488 is 884360862.

It is a happy number.

268063488 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 634 + 8 + 8 = 666.

268063488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2680634882 = 143716067197452288, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268063489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176653 + ... + 178163.

It is an arithmetic number, because the mean of its divisors is an integer number (4464096).

Almost surely, 2268063488 is an apocalyptic number.

268063488 is a gapful number since it is divisible by the number (28) 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 268063488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122368).

268063488 is an abundant number, since it is smaller than the sum of its proper divisors (696181248).

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

268063488 is a wasteful number, since it uses less digits than its factorization.

268063488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268063488 is about 16372.6445023399. The cubic root of 268063488 is about 644.7814799689.

The spelling of 268063488 in words is "two hundred sixty-eight million, sixty-three thousand, four hundred eighty-eight".