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5748486432 = 2531310494391
BaseRepresentation
bin1010101101010001…
…01111000100100000
3112211121210100220220
411112220233010200
543233103031212
62350230003040
7262311220443
oct52650570440
915747710826
105748486432
11248a963a37
1211451a6480
13707c46480
143c765b65a
15239a0538c
hex156a2f120

5748486432 has 96 divisors (see below), whose sum is σ = 16269724800. Its totient is φ = 1766676480.

The previous prime is 5748486431. The next prime is 5748486451. The reversal of 5748486432 is 2346848475.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5748486431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306957 + ... + 1311347.

It is an arithmetic number, because the mean of its divisors is an integer number (169476300).

Almost surely, 25748486432 is an apocalyptic number.

5748486432 is a gapful number since it is divisible by the number (52) 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 5748486432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134862400).

5748486432 is an abundant number, since it is smaller than the sum of its proper divisors (10521238368).

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

5748486432 is a wasteful number, since it uses less digits than its factorization.

5748486432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5458 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The square root of 5748486432 is about 75818.7736118173. The cubic root of 5748486432 is about 1791.3667278988.

It can be divided in two parts, 57484 and 86432, that added together give a triangular number (143916 = T536).

The spelling of 5748486432 in words is "five billion, seven hundred forty-eight million, four hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1049 1248 2098 3147 4196 4391 6294 8392 8782 12588 13173 13637 16784 17564 25176 26346 27274 33568 35128 40911 50352 52692 54548 57083 70256 81822 100704 105384 109096 114166 140512 163644 171249 210768 218192 228332 327288 342498 421536 436384 456664 654576 684996 913328 1309152 1369992 1826656 2739984 4606159 5479968 9212318 13818477 18424636 27636954 36849272 55273908 59880067 73698544 110547816 119760134 147397088 179640201 221095632 239520268 359280402 442191264 479040536 718560804 958081072 1437121608 1916162144 2874243216 5748486432