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268248828 = 223314191721
BaseRepresentation
bin11111111110100…
…10011011111100
3200200202110012210
433333102123330
51022132430303
642341300420
76435035361
oct1777223374
9620673183
10268248828
11128468351
1275a04710
1343761a23
14278aa468
151883b203
hexffd26fc

268248828 has 48 divisors (see below), whose sum is σ = 648023040. Its totient is φ = 86275200.

The previous prime is 268248823. The next prime is 268248889. The reversal of 268248828 is 828842862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268248823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155008 + ... + 156728.

It is an arithmetic number, because the mean of its divisors is an integer number (13500480).

Almost surely, 2268248828 is an apocalyptic number.

It is an amenable number.

268248828 is an abundant number, since it is smaller than the sum of its proper divisors (379774212).

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

268248828 is a wasteful number, since it uses less digits than its factorization.

268248828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2176 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 268248828 is about 16378.3035751570. The cubic root of 268248828 is about 644.9300470978.

The spelling of 268248828 in words is "two hundred sixty-eight million, two hundred forty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 419 838 1257 1676 1721 2514 3442 5028 5163 6884 10326 12989 20652 25978 38967 51956 53351 77934 106702 155868 160053 213404 320106 640212 721099 1442198 2163297 2884396 4326594 8653188 22354069 44708138 67062207 89416276 134124414 268248828