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268472416 = 2589107881
BaseRepresentation
bin10000000000001…
…001000001100000
3200201011210220211
4100000021001200
51022212104131
642350143504
76436656262
oct2000110140
9621153824
10268472416
11128600333
1275ab1b94
134380c724
1427927b32
15188825b1
hex10009060

268472416 has 48 divisors (see below), whose sum is σ = 540101520. Its totient is φ = 131338240.

The previous prime is 268472377. The next prime is 268472423. The reversal of 268472416 is 614274862.

It is a happy number.

268472416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304296 + ... + 305176.

It is an arithmetic number, because the mean of its divisors is an integer number (11252115).

Almost surely, 2268472416 is an apocalyptic number.

It is an amenable number.

268472416 is an abundant number, since it is smaller than the sum of its proper divisors (271629104).

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

268472416 is a wasteful number, since it uses less digits than its factorization.

268472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 268472416 is about 16385.1278908649. The cubic root of 268472416 is about 645.1091824866.

The spelling of 268472416 in words is "two hundred sixty-eight million, four hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 89 107 178 214 356 428 712 856 881 1424 1712 1762 2848 3424 3524 7048 9523 14096 19046 28192 38092 76184 78409 94267 152368 156818 188534 304736 313636 377068 627272 754136 1254544 1508272 2509088 3016544 8389763 16779526 33559052 67118104 134236208 268472416