Search a number
-
+
5215262976 = 283371141239
BaseRepresentation
bin1001101101101101…
…01001100100000000
3111110110102210212000
410312312221210000
541140101403401
62221301104000
7243145001220
oct46666514400
914413383760
105215262976
1122369752a0
1210166b8000
1365162b131
143768d8080
15207cc8186
hex136da9900

5215262976 has 576 divisors, whose sum is σ = 19779379200. Its totient is φ = 1316044800.

The previous prime is 5215262917. The next prime is 5215262977. The reversal of 5215262976 is 6792625125.

5215262976 is a `hidden beast` number, since 5 + 2 + 15 + 2 + 629 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (5215262977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21821065 + ... + 21821303.

It is an arithmetic number, because the mean of its divisors is an integer number (34339200).

Almost surely, 25215262976 is an apocalyptic number.

5215262976 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 5215262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889689600).

5215262976 is an abundant number, since it is smaller than the sum of its proper divisors (14564116224).

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

5215262976 is a wasteful number, since it uses less digits than its factorization.

5215262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 5215262976 is about 72216.7776628118. Note that the first 3 decimals coincide. The cubic root of 5215262976 is about 1734.1716045250.

The spelling of 5215262976 in words is "five billion, two hundred fifteen million, two hundred sixty-two thousand, nine hundred seventy-six".