Search a number
-
+
15054048 = 2532167313
BaseRepresentation
bin111001011011…
…010011100000
31001022211021100
4321123103200
512323212143
61254354400
7241646232
oct71332340
931284240
1015054048
118552369
12505ba00
133171129
141ddc252
1514c56d3
hexe5b4e0

15054048 has 72 divisors (see below), whose sum is σ = 43203888. Its totient is φ = 4972032.

The previous prime is 15054043. The next prime is 15054049. The reversal of 15054048 is 84045051.

15054048 is digitally balanced in base 2 and base 4, because in such bases 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 (72).

It is a super-2 number, since 2×150540482 = 453248722372608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15054041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47940 + ... + 48252.

It is an arithmetic number, because the mean of its divisors is an integer number (600054).

Almost surely, 215054048 is an apocalyptic number.

15054048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15054048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601944).

15054048 is an abundant number, since it is smaller than the sum of its proper divisors (28149840).

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

15054048 is a wasteful number, since it uses less digits than its factorization.

15054048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 15054048 is about 3879.9546389101. The cubic root of 15054048 is about 246.9170608889.

Adding to 15054048 its reverse (84045051), we get a palindrome (99099099).

The spelling of 15054048 in words is "fifteen million, fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 313 334 501 626 668 939 1002 1252 1336 1503 1878 2004 2504 2672 2817 3006 3756 4008 5008 5344 5634 6012 7512 8016 10016 11268 12024 15024 16032 22536 24048 30048 45072 48096 52271 90144 104542 156813 209084 313626 418168 470439 627252 836336 940878 1254504 1672672 1881756 2509008 3763512 5018016 7527024 15054048