Search a number
-
+
2842965804 = 2237891632333
BaseRepresentation
bin1010100101110100…
…0011011100101100
321100010112121220210
42221131003130230
521310244401204
61150034342420
7130310545020
oct25135033454
97303477823
102842965804
111229864318
1267412aa10
13363cc19b3
141cd80a380
151198c5389
hexa974372c

2842965804 has 96 divisors (see below), whose sum is σ = 7716764160. Its totient is φ = 797879808.

The previous prime is 2842965803. The next prime is 2842965823. The reversal of 2842965804 is 4085692482.

It is a happy number.

2842965804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2842965803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217422 + ... + 1219754.

It is an arithmetic number, because the mean of its divisors is an integer number (80382960).

Almost surely, 22842965804 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 2842965804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858382080).

2842965804 is an abundant number, since it is smaller than the sum of its proper divisors (4873798356).

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

2842965804 is a wasteful number, since it uses less digits than its factorization.

2842965804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2842965804 is about 53319.4692771787. The cubic root of 2842965804 is about 1416.6325356360.

The spelling of 2842965804 in words is "two billion, eight hundred forty-two million, nine hundred sixty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 163 178 267 326 356 489 534 623 652 978 1068 1141 1246 1869 1956 2282 2333 2492 3423 3738 4564 4666 6846 6999 7476 9332 13692 13998 14507 16331 27996 29014 32662 43521 48993 58028 65324 87042 97986 101549 174084 195972 203098 207637 304647 380279 406196 415274 609294 622911 760558 830548 1140837 1218588 1245822 1453459 1521116 2281674 2491644 2661953 2906918 4360377 4563348 5323906 5813836 7985859 8720754 10647812 15971718 17441508 31943436 33844831 67689662 101534493 135379324 203068986 236913817 406137972 473827634 710741451 947655268 1421482902 2842965804