Search a number
-
+
750052992 = 27313347433
BaseRepresentation
bin101100101101001…
…110011010000000
31221021100122021110
4230231032122000
53014003143432
6202232123320
724405226263
oct5455163200
91837318243
10750052992
11355426a07
1218b236540
13bc515950
1471886cda
1545cacdcc
hex2cb4e680

750052992 has 128 divisors (see below), whose sum is σ = 2156736960. Its totient is φ = 229588992.

The previous prime is 750052991. The next prime is 750052997. The reversal of 750052992 is 299250057.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 750052992.

It is not an unprimeable number, because it can be changed into a prime (750052991) 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, 1732008 + ... + 1732440.

Almost surely, 2750052992 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 750052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078368480).

750052992 is an abundant number, since it is smaller than the sum of its proper divisors (1406683968).

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

750052992 is a wasteful number, since it uses less digits than its factorization.

750052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 750052992 is about 27387.0953552946. The cubic root of 750052992 is about 908.5816943242.

The spelling of 750052992 in words is "seven hundred fifty million, fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 347 384 416 433 624 694 832 866 1041 1248 1299 1388 1664 1732 2082 2496 2598 2776 3464 4164 4511 4992 5196 5552 5629 6928 8328 9022 10392 11104 11258 13533 13856 16656 16887 18044 20784 22208 22516 27066 27712 33312 33774 36088 41568 44416 45032 54132 55424 66624 67548 72176 83136 90064 108264 133248 135096 144352 150251 166272 180128 216528 270192 288704 300502 360256 433056 450753 540384 577408 601004 720512 866112 901506 1080768 1202008 1732224 1803012 1953263 2161536 2404016 3606024 3906526 4808032 5859789 7212048 7813052 9616064 11719578 14424096 15626104 19232128 23439156 28848192 31252208 46878312 57696384 62504416 93756624 125008832 187513248 250017664 375026496 750052992