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755848968 = 233717383691
BaseRepresentation
bin101101000011010…
…101011100001000
31221200021002212020
4231003111130020
53021444131333
6203000244440
724505416210
oct5503253410
91850232766
10755848968
11358725576
12191170720
13c0794b14
1472555240
15465553b3
hex2d0d5708

755848968 has 128 divisors (see below), whose sum is σ = 2295889920. Its totient is φ = 202429440.

The previous prime is 755848967. The next prime is 755848999. The reversal of 755848968 is 869848557.

It is not an unprimeable number, because it can be changed into a prime (755848967) 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 31 ways as a sum of consecutive naturals, for example, 1093503 + ... + 1094193.

It is an arithmetic number, because the mean of its divisors is an integer number (17936640).

Almost surely, 2755848968 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 755848968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147944960).

755848968 is an abundant number, since it is smaller than the sum of its proper divisors (1540040952).

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

755848968 is a wasteful number, since it uses less digits than its factorization.

755848968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 60.

The square root of 755848968 is about 27492.7075421829. The cubic root of 755848968 is about 910.9160232228.

It can be divided in two parts, 7558489 and 68, that added together give a palindrome (7558557).

The spelling of 755848968 in words is "seven hundred fifty-five million, eight hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 383 408 476 691 714 766 952 1149 1382 1428 1532 2073 2298 2681 2764 2856 3064 4146 4596 4837 5362 5528 6511 8043 8292 9192 9674 10724 11747 13022 14511 16086 16584 19348 19533 21448 23494 26044 29022 32172 35241 38696 39066 45577 46988 52088 58044 64344 70482 78132 82229 91154 93976 116088 136731 140964 156264 164458 182308 246687 264653 273462 281928 328916 364616 493374 529306 546924 657832 793959 986748 1058612 1093848 1587918 1852571 1973496 2117224 3175836 3705142 4499101 5557713 6351672 7410284 8998202 11115426 13497303 14820568 17996404 22230852 26994606 31493707 35992808 44461704 53989212 62987414 94481121 107978424 125974828 188962242 251949656 377924484 755848968