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268497632 = 25131574111
BaseRepresentation
bin10000000000001…
…111001011100000
3200201020002111202
4100000033023200
51022213411012
642350500332
76440122634
oct2000171340
9621202452
10268497632
11128618277
1275b046a8
134381b050
1427932dc4
1518889cc2
hex1000f2e0

268497632 has 48 divisors (see below), whose sum is σ = 573031872. Its totient is φ = 123102720.

The previous prime is 268497617. The next prime is 268497659. The reversal of 268497632 is 236794862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63257 + ... + 67367.

It is an arithmetic number, because the mean of its divisors is an integer number (11938164).

Almost surely, 2268497632 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 268497632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286515936).

268497632 is an abundant number, since it is smaller than the sum of its proper divisors (304534240).

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

268497632 is a wasteful number, since it uses less digits than its factorization.

268497632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4283 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 268497632 is about 16385.8973510760. The cubic root of 268497632 is about 645.1293789300.

The spelling of 268497632 in words is "two hundred sixty-eight million, four hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 208 314 416 628 1256 2041 2512 4082 4111 5024 8164 8222 16328 16444 32656 32888 53443 65312 65776 106886 131552 213772 427544 645427 855088 1290854 1710176 2581708 5163416 8390551 10326832 16781102 20653664 33562204 67124408 134248816 268497632