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268613450 = 252719311303
BaseRepresentation
bin10000000000101…
…011011101001010
3200201102222101022
4100000223131022
51022231112300
642353152442
76441114410
oct2000533512
9621388338
10268613450
11128697296
1275b5b722
134385b991
14279632b0
15188ae285
hex1002b74a

268613450 has 96 divisors (see below), whose sum is σ = 620912640. Its totient is φ = 84369600.

The previous prime is 268613383. The next prime is 268613453. The reversal of 268613450 is 54316862.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 268613450.

It is not an unprimeable number, because it can be changed into a prime (268613453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205499 + ... + 206801.

It is an arithmetic number, because the mean of its divisors is an integer number (6467840).

Almost surely, 2268613450 is an apocalyptic number.

268613450 is an abundant number, since it is smaller than the sum of its proper divisors (352299190).

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

268613450 is a wasteful number, since it uses less digits than its factorization.

268613450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 268613450 is about 16389.4310456465. The cubic root of 268613450 is about 645.2221256867. Note that the first 3 decimals are identical.

The spelling of 268613450 in words is "two hundred sixty-eight million, six hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 19 25 31 35 38 50 62 70 95 133 155 175 190 217 266 310 350 434 475 589 665 775 950 1085 1178 1303 1330 1550 2170 2606 2945 3325 4123 5425 5890 6515 6650 8246 9121 10850 13030 14725 18242 20615 24757 29450 32575 40393 41230 45605 49514 65150 80786 91210 103075 123785 173299 201965 206150 228025 247570 282751 346598 403930 456050 565502 618925 767467 866495 1009825 1237850 1413755 1534934 1732990 2019650 2827510 3837335 4332475 5372269 7068775 7674670 8664950 10744538 14137550 19186675 26861345 38373350 53722690 134306725 268613450