Search a number
-
+
789473048 = 237131099949
BaseRepresentation
bin101111000011100…
…110011100011000
32001000112101102112
4233003212130120
53104101114143
6210201051452
725364260460
oct5703463430
92030471375
10789473048
11375700871
121a0486b88
13c7738520
1476bc8ba0
1549497e18
hex2f0e6718

789473048 has 64 divisors (see below), whose sum is σ = 1838760000. Its totient is φ = 309422592.

The previous prime is 789473011. The next prime is 789473051. The reversal of 789473048 is 840374987.

789473048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 789472987 and 789473005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74378 + ... + 84326.

It is an arithmetic number, because the mean of its divisors is an integer number (28730625).

Almost surely, 2789473048 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 789473048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919380000).

789473048 is an abundant number, since it is smaller than the sum of its proper divisors (1049286952).

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

789473048 is a wasteful number, since it uses less digits than its factorization.

789473048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The square root of 789473048 is about 28097.5630259992. The cubic root of 789473048 is about 924.2279598471.

The spelling of 789473048 in words is "seven hundred eighty-nine million, four hundred seventy-three thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 109 182 218 364 436 728 763 872 1417 1526 2834 3052 5668 6104 9919 9949 11336 19838 19898 39676 39796 69643 79352 79592 129337 139286 258674 278572 517348 557144 905359 1034696 1084441 1810718 2168882 3621436 4337764 7242872 7591087 8675528 14097733 15182174 28195466 30364348 56390932 60728696 98684131 112781864 197368262 394736524 789473048