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268489464 = 233371911583
BaseRepresentation
bin10000000000001…
…101001011111000
3200201012200022020
4100000031023320
51022213130324
642350354440
76440060055
oct2000151370
9621180266
10268489464
11128612121
1275abba20
1343817409
142793002c
1518887679
hex1000d2f8

268489464 has 64 divisors (see below), whose sum is σ = 693411840. Its totient is φ = 86567040.

The previous prime is 268489433. The next prime is 268489477. The reversal of 268489464 is 464984862.

It is a congruent number.

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, 168817 + ... + 170399.

It is an arithmetic number, because the mean of its divisors is an integer number (10834560).

Almost surely, 2268489464 is an apocalyptic number.

268489464 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 268489464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346705920).

268489464 is an abundant number, since it is smaller than the sum of its proper divisors (424922376).

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

268489464 is a wasteful number, since it uses less digits than its factorization.

268489464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1816 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 268489464 is about 16385.6481104655. The cubic root of 268489464 is about 645.1228370098.

The spelling of 268489464 in words is "two hundred sixty-eight million, four hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 191 222 296 382 444 573 764 888 1146 1528 1583 2292 3166 4584 4749 6332 7067 9498 12664 14134 18996 21201 28268 37992 42402 56536 58571 84804 117142 169608 175713 234284 302353 351426 468568 604706 702852 907059 1209412 1405704 1814118 2418824 3628236 7256472 11187061 22374122 33561183 44748244 67122366 89496488 134244732 268489464