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749148816 = 243134632593
BaseRepresentation
bin101100101001110…
…001101010010000
31221012122200222110
4230221301222100
53013240230231
6202200505320
724364442223
oct5451615220
91835580873
10749148816
11354969659
1218aa7b240
13bc28a230
14716cd5ba
1545b80046
hex2ca71a90

749148816 has 80 divisors (see below), whose sum is σ = 2089477376. Its totient is φ = 229920768.

The previous prime is 749148779. The next prime is 749148817. The reversal of 749148816 is 618841947.

It is a super-2 number, since 2×7491488162 = 1122447897028403712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (749148817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287616 + ... + 290208.

Almost surely, 2749148816 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 749148816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044738688).

749148816 is an abundant number, since it is smaller than the sum of its proper divisors (1340328560).

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

749148816 is a wasteful number, since it uses less digits than its factorization.

749148816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3074 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 749148816 is about 27370.5830409219. The cubic root of 749148816 is about 908.2164543120.

The spelling of 749148816 in words is "seven hundred forty-nine million, one hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 463 624 926 1389 1852 2593 2778 3704 5186 5556 6019 7408 7779 10372 11112 12038 15558 18057 20744 22224 24076 31116 33709 36114 41488 48152 62232 67418 72228 96304 101127 124464 134836 144456 202254 269672 288912 404508 539344 809016 1200559 1618032 2401118 3601677 4802236 7203354 9604472 14406708 15607267 19208944 28813416 31214534 46821801 57626832 62429068 93643602 124858136 187287204 249716272 374574408 749148816