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268428752 = 24312711997
BaseRepresentation
bin11111111111111…
…10010111010000
3200201002121000122
433333332113100
51022204210002
642345205412
76436415054
oct1777762720
9621077018
10268428752
11128580549
1275a90868
13437c58a7
1427915c64
15188746a2
hexfffe5d0

268428752 has 40 divisors (see below), whose sum is σ = 539108352. Its totient is φ = 129340800.

The previous prime is 268428749. The next prime is 268428757. The reversal of 268428752 is 257824862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268428757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133418 + ... + 135414.

Almost surely, 2268428752 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 268428752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269554176).

268428752 is an abundant number, since it is smaller than the sum of its proper divisors (270679600).

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

268428752 is a wasteful number, since it uses less digits than its factorization.

268428752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2301 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 268428752 is about 16383.7954088789. The cubic root of 268428752 is about 645.0742073546.

The spelling of 268428752 in words is "two hundred sixty-eight million, four hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 124 248 271 496 542 1084 1997 2168 3994 4336 7988 8401 15976 16802 31952 33604 61907 67208 123814 134416 247628 495256 541187 990512 1082374 2164748 4329496 8658992 16776797 33553594 67107188 134214376 268428752