Search a number
-
+
28124448 = 2531126633
BaseRepresentation
bin110101101001…
…0010100100000
31221220212111020
41223102110200
524144440243
62442445440
7461024322
oct153222440
957825436
1028124448
111496a350
129503880
135a993b1
143a41612
152708283
hex1ad2520

28124448 has 48 divisors (see below), whose sum is σ = 80541216. Its totient is φ = 8522240.

The previous prime is 28124441. The next prime is 28124479. The reversal of 28124448 is 84442182.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28124441) 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, 12261 + ... + 14372.

It is an arithmetic number, because the mean of its divisors is an integer number (1677942).

Almost surely, 228124448 is an apocalyptic number.

It is an amenable number.

28124448 is an abundant number, since it is smaller than the sum of its proper divisors (52416768).

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

28124448 is a wasteful number, since it uses less digits than its factorization.

28124448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26657 (or 26649 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 28124448 is about 5303.2488155847. The cubic root of 28124448 is about 304.1081102098.

It can be divided in two parts, 2812 and 4448, that added together give a triangular number (7260 = T120).

The spelling of 28124448 in words is "twenty-eight million, one hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 26633 53266 79899 106532 159798 213064 292963 319596 426128 585926 639192 852256 878889 1171852 1278384 1757778 2343704 2556768 3515556 4687408 7031112 9374816 14062224 28124448