Search a number
-
+
5755652328 = 2331721674969
BaseRepresentation
bin1010101110001000…
…00100100011101000
3112212010021102200110
411113010010203220
543241421333303
62351043334320
7262426144326
oct52704044350
915763242613
105755652328
112493a08868
1211476813a0
1370958504a
143c85a4d16
1523a46d703
hex1571048e8

5755652328 has 96 divisors (see below), whose sum is σ = 15379963200. Its totient is φ = 1794521088.

The previous prime is 5755652321. The next prime is 5755652333. The reversal of 5755652328 is 8232565575.

It is not an unprimeable number, because it can be changed into a prime (5755652321) 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 23 ways as a sum of consecutive naturals, for example, 1155828 + ... + 1160796.

It is an arithmetic number, because the mean of its divisors is an integer number (160207950).

Almost surely, 25755652328 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 5755652328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689981600).

5755652328 is an abundant number, since it is smaller than the sum of its proper divisors (9624310872).

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

5755652328 is a wasteful number, since it uses less digits than its factorization.

5755652328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5158 counting only the distinct ones).

The product of its digits is 2520000, while the sum is 48.

The square root of 5755652328 is about 75866.0156328247. The cubic root of 5755652328 is about 1792.1107740369.

The spelling of 5755652328 in words is "five billion, seven hundred fifty-five million, six hundred fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 167 204 289 334 408 501 578 668 867 1002 1156 1336 1734 2004 2312 2839 3468 4008 4969 5678 6936 8517 9938 11356 14907 17034 19876 22712 29814 34068 39752 48263 59628 68136 84473 96526 119256 144789 168946 193052 253419 289578 337892 386104 506838 579156 675784 829823 1013676 1158312 1436041 1659646 2027352 2489469 2872082 3319292 4308123 4978938 5744164 6638584 8616246 9957876 11488328 14106991 17232492 19915752 28213982 34464984 42320973 56427964 84641946 112855928 169283892 239818847 338567784 479637694 719456541 959275388 1438913082 1918550776 2877826164 5755652328