Search a number
-
+
14828448 = 253831861
BaseRepresentation
bin111000100100…
…001110100000
31000220100210210
4320210032200
512244002243
61245454120
7240016425
oct70441640
930810723
1014828448
118408918
124b71340
1330c253b
141d7dd4c
15147d933
hexe243a0

14828448 has 48 divisors (see below), whose sum is σ = 39414816. Its totient is φ = 4880640.

The previous prime is 14828441. The next prime is 14828449. The reversal of 14828448 is 84482841.

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

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 (14828441) 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, 7038 + ... + 8898.

It is an arithmetic number, because the mean of its divisors is an integer number (821142).

Almost surely, 214828448 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 14828448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707408).

14828448 is an abundant number, since it is smaller than the sum of its proper divisors (24586368).

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

14828448 is a wasteful number, since it uses less digits than its factorization.

14828448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 14828448 is about 3850.7723900537. The cubic root of 14828448 is about 245.6774144371.

The spelling of 14828448 in words is "fourteen million, eight hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1861 1992 2656 3722 3984 5583 7444 7968 11166 14888 22332 29776 44664 59552 89328 154463 178656 308926 463389 617852 926778 1235704 1853556 2471408 3707112 4942816 7414224 14828448