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5741283888 = 24346172623
BaseRepresentation
bin1010101100011010…
…10000101000110000
3112211010020102220000
411112031100220300
543224232041023
62345411350000
7262163051664
oct52615205060
915733212800
105741283888
11248689461a
1211428b2300
137065c4002
143c67048a4
15239081243
hex156350a30

5741283888 has 100 divisors (see below), whose sum is σ = 16889582688. Its totient is φ = 1882362240.

The previous prime is 5741283887. The next prime is 5741283893. The reversal of 5741283888 is 8883821475.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5741283887) 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 19 ways as a sum of consecutive naturals, for example, 42745 + ... + 115367.

Almost surely, 25741283888 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 5741283888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444791344).

5741283888 is an abundant number, since it is smaller than the sum of its proper divisors (11148298800).

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

5741283888 is a wasteful number, since it uses less digits than its factorization.

5741283888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72704 (or 72689 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 5741283888 is about 75771.2603036270. The cubic root of 5741283888 is about 1790.6182531913.

The spelling of 5741283888 in words is "five billion, seven hundred forty-one million, two hundred eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1296 1464 1647 2196 2928 3294 4392 4941 6588 8784 9882 13176 19764 26352 39528 72623 79056 145246 217869 290492 435738 580984 653607 871476 1161968 1307214 1742952 1960821 2614428 3485904 3921642 4430003 5228856 5882463 7843284 8860006 10457712 11764926 13290009 15686568 17720012 23529852 26580018 31373136 35440024 39870027 47059704 53160036 70880048 79740054 94119408 106320072 119610081 159480108 212640144 239220162 318960216 358830243 478440324 637920432 717660486 956880648 1435320972 1913761296 2870641944 5741283888