Search a number
-
+
5382308736 = 2734774161
BaseRepresentation
bin1010000001100111…
…11000001110000000
3111220002202121120000
411000303320032000
542010332334421
62250025320000
7250243604130
oct50063701600
914802677500
105382308736
11231219a242
121062636000
1367a11788c
14390b7cac0
152177c3226
hex140cf8380

5382308736 has 160 divisors (see below), whose sum is σ = 18306148080. Its totient is φ = 1537781760.

The previous prime is 5382308707. The next prime is 5382308741. The reversal of 5382308736 is 6378032835.

5382308736 is a `hidden beast` number, since 538 + 2 + 3 + 0 + 87 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5382308691 and 5382308700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35496 + ... + 109656.

Almost surely, 25382308736 is an apocalyptic number.

5382308736 is a gapful number since it is divisible by the number (56) 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 5382308736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153074040).

5382308736 is an abundant number, since it is smaller than the sum of its proper divisors (12923839344).

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

5382308736 is an equidigital number, since it uses as much as digits as its factorization.

5382308736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74194 (or 74173 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5382308736 is about 73364.2197259672. The cubic root of 5382308736 is about 1752.4926368447.

The spelling of 5382308736 in words is "five billion, three hundred eighty-two million, three hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 74161 148322 222483 296644 444966 519127 593288 667449 889932 1038254 1186576 1334898 1557381 1779864 2002347 2076508 2373152 2669796 3114762 3559728 4004694 4153016 4672143 4746304 5339592 6007041 6229524 7119456 8009388 8306032 9344286 9492608 10679184 12014082 12459048 14016429 14238912 16018776 16612064 18688572 21358368 24028164 24918096 28032858 28477824 32037552 33224128 37377144 42049287 42716736 48056328 49836192 56065716 64075104 66448256 74754288 84098574 85433472 96112656 99672384 112131432 128150208 149508576 168197148 192225312 199344768 224262864 256300416 299017152 336394296 384450624 448525728 598034304 672788592 768901248 897051456 1345577184 1794102912 2691154368 5382308736