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5754190032 = 243244988997
BaseRepresentation
bin1010101101111100…
…11111100011010000
3112212000112010210100
411112332133203100
543241033040112
62350552132400
7262410544143
oct52676374320
915760463710
105754190032
1124930aa158
121147097100
13709192596
143c830405a
1523a2802dc
hex156f9f8d0

5754190032 has 60 divisors (see below), whose sum is σ = 16139787300. Its totient is φ = 1913769984.

The previous prime is 5754190031. The next prime is 5754190061. The reversal of 5754190032 is 2300914575.

It can be written as a sum of positive squares in 2 ways, for example, as 3987164736 + 1767025296 = 63144^2 + 42036^2 .

It is a super-2 number, since 2×57541900322 = 66221405848736322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754190031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20158 + ... + 109154.

It is an arithmetic number, because the mean of its divisors is an integer number (268996455).

Almost surely, 25754190032 is an apocalyptic number.

It is an amenable number.

5754190032 is an abundant number, since it is smaller than the sum of its proper divisors (10385597268).

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

5754190032 is a wasteful number, since it uses less digits than its factorization.

5754190032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89460 (or 89451 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5754190032 is about 75856.3776620002. The cubic root of 5754190032 is about 1791.9589917407.

The spelling of 5754190032 in words is "five billion, seven hundred fifty-four million, one hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 449 898 1347 1796 2694 3592 4041 5388 7184 8082 10776 16164 21552 32328 64656 88997 177994 266991 355988 533982 711976 800973 1067964 1423952 1601946 2135928 3203892 4271856 6407784 12815568 39959653 79919306 119878959 159838612 239757918 319677224 359636877 479515836 639354448 719273754 959031672 1438547508 1918063344 2877095016 5754190032