Search a number
-
+
5748338475 = 3352111375651
BaseRepresentation
bin1010101101010000…
…01010111100101011
3112211121111211222000
411112220022330223
543233033312400
62350222502043
7262310033205
oct52650127453
915747454860
105748338475
11248a872860
121145134923
13707bc4019
143c761d775
152399c6600
hex156a0af2b

5748338475 has 96 divisors (see below), whose sum is σ = 11606042880. Its totient is φ = 2766240000.

The previous prime is 5748338473. The next prime is 5748338591.

It is a happy number.

5748338475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5748338475 - 21 = 5748338473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5748338473) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1014400 + ... + 1020050.

It is an arithmetic number, because the mean of its divisors is an integer number (120896280).

Almost surely, 25748338475 is an apocalyptic number.

5748338475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5748338475 is an abundant number, since it is smaller than the sum of its proper divisors (5857704405).

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

5748338475 is a wasteful number, since it uses less digits than its factorization.

5748338475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5807 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 5748338475 is about 75817.7978775432. The cubic root of 5748338475 is about 1791.3513587795.

The spelling of 5748338475 in words is "five billion, seven hundred forty-eight million, three hundred thirty-eight thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 137 165 225 275 297 411 495 675 685 825 1233 1485 1507 2055 2475 3425 3699 4521 5651 6165 7425 7535 10275 13563 16953 18495 22605 28255 30825 37675 40689 50859 62161 67815 84765 92475 113025 141275 152577 186483 203445 254295 310805 339075 423825 559449 762885 774187 932415 1017225 1271475 1554025 1678347 2322561 2797245 3814425 3870935 4662075 6967683 8391735 8516057 11612805 13986225 19354675 20903049 25548171 34838415 41958675 42580285 58064025 76644513 104515245 127740855 174192075 212901425 229933539 383222565 522576225 638704275 1149667695 1916112825 5748338475