Search a number
-
+
749198208 = 27311193919
BaseRepresentation
bin101100101001111…
…101101110000000
31221012202012201210
4230221331232000
53013243320313
6202201530120
724365036223
oct5451755600
91835665653
10749198208
113549a2780
1218aaa3940
13bc2a6865
14717035ba
1545b8e9c3
hex2ca7db80

749198208 has 128 divisors (see below), whose sum is σ = 2184595200. Its totient is φ = 225607680.

The previous prime is 749198183. The next prime is 749198227. The reversal of 749198208 is 802891947.

749198208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7491982082 = 1122595909740822528, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814773 + ... + 815691.

It is an arithmetic number, because the mean of its divisors is an integer number (17067150).

Almost surely, 2749198208 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 749198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092297600).

749198208 is an abundant number, since it is smaller than the sum of its proper divisors (1435396992).

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

749198208 is a wasteful number, since it uses less digits than its factorization.

749198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 749198208 is about 27371.4853086200. The cubic root of 749198208 is about 908.2364136936.

The spelling of 749198208 in words is "seven hundred forty-nine million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 193 264 352 384 386 528 579 704 772 919 1056 1158 1408 1544 1838 2112 2123 2316 2757 3088 3676 4224 4246 4632 5514 6176 6369 7352 8492 9264 10109 11028 12352 12738 14704 16984 18528 20218 22056 24704 25476 29408 30327 33968 37056 40436 44112 50952 58816 60654 67936 74112 80872 88224 101904 117632 121308 135872 161744 176448 177367 203808 242616 271744 323488 352896 354734 407616 485232 532101 646976 709468 815232 970464 1064202 1293952 1418936 1940928 1951037 2128404 2837872 3881856 3902074 4256808 5675744 5853111 7804148 8513616 11351488 11706222 15608296 17027232 22702976 23412444 31216592 34054464 46824888 62433184 68108928 93649776 124866368 187299552 249732736 374599104 749198208