Search a number
-
+
4910801408 = 291921632
BaseRepresentation
bin1001001001011010…
…01110001000000000
3110200020112120002122
410210231032020000
540024131121113
62131143303412
7232460060162
oct44455161000
913606476078
104910801408
1120a0023867
12b5074ab68
1360352a666
143482c2932
151db1d7408
hex124b4e200

4910801408 has 90 divisors (see below), whose sum is σ = 10419534279. Its totient is φ = 2311898112.

The previous prime is 4910801393. The next prime is 4910801437. The reversal of 4910801408 is 8041080194.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2455400704 + 2455400704 = 49552^2 + 49552^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=49552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30127535 + ... + 30127697.

Almost surely, 24910801408 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 4910801408

4910801408 is an abundant number, since it is smaller than the sum of its proper divisors (5508732871).

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

4910801408 is an frugal number, since it uses more digits than its factorization.

4910801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 4910801408 is about 70077.1104427116. The cubic root of 4910801408 is about 1699.7463760044.

The spelling of 4910801408 in words is "four billion, nine hundred ten million, eight hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 163 256 304 326 361 512 608 652 722 1216 1304 1444 2432 2608 2888 3097 4864 5216 5776 6194 9728 10432 11552 12388 20864 23104 24776 26569 41728 46208 49552 53138 58843 83456 92416 99104 106276 117686 184832 198208 212552 235372 396416 425104 470744 504811 792832 850208 941488 1009622 1585664 1700416 1882976 2019244 3400832 3765952 4038488 6801664 7531904 8076976 9591409 13603328 15063808 16153952 19182818 30127616 32307904 38365636 64615808 76731272 129231616 153462544 258463232 306925088 613850176 1227700352 2455400704 4910801408