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5758427484 = 2233173311991
BaseRepresentation
bin1010101110011101…
…01010000101011100
3112212022111102111000
411113032222011130
543243124134414
62351223030300
7262461553215
oct52716520534
915768442430
105758427484
112495533887
12114859b390
1370a017254
143c8ac840c
1523a81ab09
hex1573aa15c

5758427484 has 96 divisors (see below), whose sum is σ = 15079034880. Its totient is φ = 1900324800.

The previous prime is 5758427471. The next prime is 5758427501. The reversal of 5758427484 is 4847248575.

5758427484 is a `hidden beast` number, since 57 + 584 + 2 + 7 + 4 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5758427484.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5810229 + ... + 5811219.

It is an arithmetic number, because the mean of its divisors is an integer number (157073280).

Almost surely, 25758427484 is an apocalyptic number.

5758427484 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5758427484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539517440).

5758427484 is an abundant number, since it is smaller than the sum of its proper divisors (9320607396).

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

5758427484 is a wasteful number, since it uses less digits than its factorization.

5758427484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 54.

The square root of 5758427484 is about 75884.3032780825. The cubic root of 5758427484 is about 1792.3987569085.

The spelling of 5758427484 in words is "five billion, seven hundred fifty-eight million, four hundred twenty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 311 346 519 622 692 933 991 1038 1244 1557 1866 1982 2076 2799 2973 3114 3732 3964 4671 5598 5946 6228 8397 8919 9342 11196 11892 16794 17838 18684 26757 33588 35676 53514 53803 107028 107606 161409 171443 215212 308201 322818 342886 484227 514329 616402 645636 685772 924603 968454 1028658 1232804 1452681 1542987 1849206 1936908 2057316 2773809 2905362 3085974 3698412 4628961 5547618 5810724 6171948 8321427 9257922 11095236 16642854 18515844 33285708 53318773 106637546 159956319 213275092 319912638 479868957 639825276 959737914 1439606871 1919475828 2879213742 5758427484