Search a number
-
+
28941848 = 23133147191
BaseRepresentation
bin110111001100…
…1111000011000
32000110101202022
41232121320120
524402114343
62512154012
7501000365
oct156317030
960411668
1028941848
1115378491
129838908
135cc4470
143bb546c
15281a568
hex1b99e18

28941848 has 64 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 12585600.

The previous prime is 28941841. The next prime is 28941863. The reversal of 28941848 is 84814982.

It is a happy number.

Its product of digits (147456) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 28941799 and 28941808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28941841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151433 + ... + 151623.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 228941848 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 28941848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

28941848 is an abundant number, since it is smaller than the sum of its proper divisors (32989672).

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

28941848 is a wasteful number, since it uses less digits than its factorization.

28941848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 28941848 is about 5379.7628200507. The cubic root of 28941848 is about 307.0261872571.

The spelling of 28941848 in words is "twenty-eight million, nine hundred forty-one thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 26 31 47 52 62 94 104 124 188 191 248 376 382 403 611 764 806 1222 1457 1528 1612 2444 2483 2914 3224 4888 4966 5828 5921 8977 9932 11656 11842 17954 18941 19864 23684 35908 37882 47368 71816 75764 76973 116701 151528 153946 233402 278287 307892 466804 556574 615784 933608 1113148 2226296 3617731 7235462 14470924 28941848