Search a number
-
+
2083419552 = 25374329209
BaseRepresentation
bin111110000101110…
…0111010110100000
312101012022200100010
41330023213112200
513231323411202
6542422524520
7102425526324
oct17413472640
95335280303
102083419552
1197a043a45
124a1896740
13272834046
1415a9b1984
15c2d8e76c
hex7c2e75a0

2083419552 has 48 divisors (see below), whose sum is σ = 5476524480. Its totient is φ = 693514752.

The previous prime is 2083419529. The next prime is 2083419553. The reversal of 2083419552 is 2559143802.

2083419552 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2083419552.

It is not an unprimeable number, because it can be changed into a prime (2083419553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56724 + ... + 85932.

It is an arithmetic number, because the mean of its divisors is an integer number (114094260).

Almost surely, 22083419552 is an apocalyptic number.

It is an amenable number.

2083419552 is an abundant number, since it is smaller than the sum of its proper divisors (3393104928).

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

2083419552 is a wasteful number, since it uses less digits than its factorization.

2083419552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29965 (or 29957 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2083419552 is about 45644.4909271645. The cubic root of 2083419552 is about 1277.2000057935.

The spelling of 2083419552 in words is "two billion, eighty-three million, four hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 743 1486 2229 2972 4458 5944 8916 11888 17832 23776 29209 35664 58418 71328 87627 116836 175254 233672 350508 467344 701016 934688 1402032 2804064 21702287 43404574 65106861 86809148 130213722 173618296 260427444 347236592 520854888 694473184 1041709776 2083419552