Search a number
-
+
5744376832 = 21041612243
BaseRepresentation
bin1010101100110010…
…00011110000000000
3112211100001120121111
411112121003300000
543231030024312
62350001533104
7262231253215
oct52631036000
915740046544
105744376832
112488607377
121143944194
13707137a5c
143c6cabb0c
152394928a7
hex156643c00

5744376832 has 88 divisors (see below), whose sum is σ = 11961390672. Its totient is φ = 2754969600.

The previous prime is 5744376817. The next prime is 5744376839. The reversal of 5744376832 is 2386734475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5744376839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2559903 + ... + 2562145.

It is an arithmetic number, because the mean of its divisors is an integer number (135924894).

Almost surely, 25744376832 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 5744376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980695336).

5744376832 is an abundant number, since it is smaller than the sum of its proper divisors (6217013840).

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

5744376832 is a wasteful number, since it uses less digits than its factorization.

5744376832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2347 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 49.

The square root of 5744376832 is about 75791.6672992487. The cubic root of 5744376832 is about 1790.9397427083.

The spelling of 5744376832 in words is "five billion, seven hundred forty-four million, three hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 128 164 244 256 328 488 512 656 976 1024 1312 1952 2243 2501 2624 3904 4486 5002 5248 7808 8972 10004 10496 15616 17944 20008 20992 31232 35888 40016 41984 62464 71776 80032 91963 136823 143552 160064 183926 273646 287104 320128 367852 547292 574208 640256 735704 1094584 1148416 1280512 1471408 2189168 2296832 2561024 2942816 4378336 5609743 5885632 8756672 11219486 11771264 17513344 22438972 23542528 35026688 44877944 47085056 70053376 89755888 94170112 140106752 179511776 359023552 718047104 1436094208 2872188416 5744376832