Search a number
-
+
4876190496 = 253333716747
BaseRepresentation
bin1001000101010010…
…01100001100100000
3110120211102010212000
410202221030030200
534441301043441
62123505404000
7231556635552
oct44251141440
913524363760
104876190496
112082534101
12b41039600
135c92cca28
143438734d2
151d814c2b6
hex122a4c320

4876190496 has 96 divisors (see below), whose sum is σ = 14265276480. Its totient is φ = 1620476928.

The previous prime is 4876190453. The next prime is 4876190507. The reversal of 4876190496 is 6940916784.

4876190496 is a `hidden beast` number, since 4 + 8 + 7 + 61 + 90 + 496 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 282795 + ... + 299541.

It is an arithmetic number, because the mean of its divisors is an integer number (148596630).

Almost surely, 24876190496 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 4876190496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132638240).

4876190496 is an abundant number, since it is smaller than the sum of its proper divisors (9389085984).

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

4876190496 is a wasteful number, since it uses less digits than its factorization.

4876190496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103 (or 17089 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4876190496 is about 69829.7250173592. The cubic root of 4876190496 is about 1695.7437350136.

The spelling of 4876190496 in words is "four billion, eight hundred seventy-six million, one hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 337 432 674 864 1011 1348 2022 2696 3033 4044 5392 6066 8088 9099 10784 12132 16176 16747 18198 24264 32352 33494 36396 48528 50241 66988 72792 97056 100482 133976 145584 150723 200964 267952 291168 301446 401928 452169 535904 602892 803856 904338 1205784 1607712 1808676 2411568 3617352 4823136 5643739 7234704 11287478 14469408 16931217 22574956 33862434 45149912 50793651 67724868 90299824 101587302 135449736 152380953 180599648 203174604 270899472 304761906 406349208 541798944 609523812 812698416 1219047624 1625396832 2438095248 4876190496