Search a number
-
+
2088208032 = 25346374691
BaseRepresentation
bin111110001110111…
…1000011010100000
312101112022221220020
41330131320122200
513234040124112
6543113313440
7102514322031
oct17435703240
95345287806
102088208032
11981814669
124a3405880
1327381c771
1415b49aa88
15c34d848c
hex7c7786a0

2088208032 has 48 divisors (see below), whose sum is σ = 5483896992. Its totient is φ = 695770880.

The previous prime is 2088208013. The next prime is 2088208033. The reversal of 2088208032 is 2308028802.

2088208032 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 super-2 number, since 2×20882080322 = 8721225569818626048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2088207984 and 2088208002.

It is not an unprimeable number, because it can be changed into a prime (2088208033) 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, 442807 + ... + 447497.

It is an arithmetic number, because the mean of its divisors is an integer number (114247854).

Almost surely, 22088208032 is an apocalyptic number.

It is an amenable number.

2088208032 is an abundant number, since it is smaller than the sum of its proper divisors (3395688960).

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

2088208032 is a wasteful number, since it uses less digits than its factorization.

2088208032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2088208032 is about 45696.9149068074. The cubic root of 2088208032 is about 1278.1777520742.

The spelling of 2088208032 in words is "two billion, eighty-eight million, two hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4637 4691 9274 9382 13911 14073 18548 18764 27822 28146 37096 37528 55644 56292 74192 75056 111288 112584 148384 150112 222576 225168 445152 450336 21752167 43504334 65256501 87008668 130513002 174017336 261026004 348034672 522052008 696069344 1044104016 2088208032