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268544988 = 2232172915131
BaseRepresentation
bin10000000000011…
…010101111011100
3200201022111110200
4100000122233130
51022221414423
642351503500
76440410665
oct2000325734
9621274420
10268544988
1112864a908
1275b27b90
134383677a
142794636c
1518898d43
hex1001abdc

268544988 has 72 divisors (see below), whose sum is σ = 743586480. Its totient is φ = 81338880.

The previous prime is 268544977. The next prime is 268544989. The reversal of 268544988 is 889445862.

268544988 is a `hidden beast` number, since 2 + 6 + 8 + 544 + 98 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268544989) 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, 10183 + ... + 25313.

It is an arithmetic number, because the mean of its divisors is an integer number (10327590).

Almost surely, 2268544988 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 268544988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371793240).

268544988 is an abundant number, since it is smaller than the sum of its proper divisors (475041492).

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

268544988 is a wasteful number, since it uses less digits than its factorization.

268544988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15187 (or 15182 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 268544988 is about 16387.3423104541. The cubic root of 268544988 is about 645.1673047157.

The spelling of 268544988 in words is "two hundred sixty-eight million, five hundred forty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 15131 17748 30262 45393 60524 90786 136179 181572 257227 272358 438799 514454 544716 771681 877598 1028908 1316397 1543362 1755196 2315043 2632794 3086724 3949191 4630086 5265588 7459583 7898382 9260172 14919166 15796764 22378749 29838332 44757498 67136247 89514996 134272494 268544988