Search a number
-
+
8008520919 = 371920071481
BaseRepresentation
bin1110111010101100…
…00101010011010111
3202200010110000101220
413131112011103113
5112400140132134
63402402221423
7402313206330
oct73526052327
922603400356
108008520919
11343a668333
121676054873
139a8237699
1455d885287
1531d130149
hex1dd5854d7

8008520919 has 16 divisors (see below), whose sum is σ = 12845748480. Its totient is φ = 4335439680.

The previous prime is 8008520893. The next prime is 8008520951. The reversal of 8008520919 is 9190258008.

It is a happy number.

It is not a de Polignac number, because 8008520919 - 213 = 8008512727 is a prime.

It is a super-2 number, since 2×80085209192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008520999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10035342 + ... + 10036139.

It is an arithmetic number, because the mean of its divisors is an integer number (802859280).

Almost surely, 28008520919 is an apocalyptic number.

8008520919 is a deficient number, since it is larger than the sum of its proper divisors (4837227561).

8008520919 is a wasteful number, since it uses less digits than its factorization.

8008520919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20071510.

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 8008520919 is about 89490.3398082720. The cubic root of 8008520919 is about 2000.7098246280.

The spelling of 8008520919 in words is "eight billion, eight million, five hundred twenty thousand, nine hundred nineteen".

Divisors: 1 3 7 19 21 57 133 399 20071481 60214443 140500367 381358139 421501101 1144074417 2669506973 8008520919