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268048880 = 24511227691
BaseRepresentation
bin11111111101000…
…01100111110000
3200200101021221022
433332201213300
51022110031010
642333115012
76433243421
oct1776414760
9620337838
10268048880
11128341100
1275928a68
13436c1a08
1427857648
15187ebd55
hexffa19f0

268048880 has 60 divisors (see below), whose sum is σ = 685044696. Its totient is φ = 97468800.

The previous prime is 268048871. The next prime is 268048883. The reversal of 268048880 is 88840862.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268048883) 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 11 ways as a sum of consecutive naturals, for example, 4166 + ... + 23525.

Almost surely, 2268048880 is an apocalyptic number.

268048880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268048880 is an abundant number, since it is smaller than the sum of its proper divisors (416995816).

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

268048880 is a wasteful number, since it uses less digits than its factorization.

268048880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27726 (or 27709 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 268048880 is about 16372.1983862889. The cubic root of 268048880 is about 644.7697673966.

The spelling of 268048880 in words is "two hundred sixty-eight million, forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 27691 55382 110764 138455 221528 276910 304601 443056 553820 609202 1107640 1218404 1523005 2215280 2436808 3046010 3350611 4873616 6092020 6701222 12184040 13402444 16753055 24368080 26804888 33506110 53609776 67012220 134024440 268048880