Search a number
-
+
5406502788 = 22341373492
BaseRepresentation
bin1010000100100000…
…01010111110000100
3111221210021210120000
411002100022332010
542033031042123
62252252041300
7250656341541
oct50220127604
914853253500
105406502788
112324914625
12106a763230
13682138c9b
14394079bc8
152199a1b43
hex14240af84

5406502788 has 90 divisors (see below), whose sum is σ = 14277741786. Its totient is φ = 1783886976.

The previous prime is 5406502781. The next prime is 5406502793. The reversal of 5406502788 is 8872056045.

5406502788 is a `hidden beast` number, since 540 + 6 + 5 + 0 + 27 + 88 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2138322564 + 3268180224 = 46242^2 + 57168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406502781) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15491238 + ... + 15491586.

Almost surely, 25406502788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406502788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138870893).

5406502788 is an abundant number, since it is smaller than the sum of its proper divisors (8871238998).

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

5406502788 is a wasteful number, since it uses less digits than its factorization.

5406502788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5406502788 is about 73528.9248391407. The cubic root of 5406502788 is about 1755.1145925614.

The spelling of 5406502788 in words is "five billion, four hundred six million, five hundred two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 349 411 548 698 822 1047 1233 1396 1644 2094 2466 3141 3699 4188 4932 6282 7398 9423 11097 12564 14796 18846 22194 28269 37692 44388 47813 56538 95626 113076 121801 143439 191252 243602 286878 365403 430317 487204 573756 730806 860634 1096209 1290951 1461612 1721268 2192418 2581902 3288627 3872853 4384836 5163804 6577254 7745706 9865881 13154508 15491412 16686737 19731762 33373474 39463524 50060211 66746948 100120422 150180633 200240844 300361266 450541899 600722532 901083798 1351625697 1802167596 2703251394 5406502788