Search a number
-
+
48141296 = 2472291877
BaseRepresentation
bin1011011110100…
…1001111110000
310100120211102222
42313221033300
544311010141
64435500212
71123123430
oct267511760
9110524388
1048141296
11251a12a5
1214157668
139c87398
1465722c0
15435e14b
hex2de93f0

48141296 has 40 divisors (see below), whose sum is σ = 107121120. Its totient is φ = 20530944.

The previous prime is 48141287. The next prime is 48141299. The reversal of 48141296 is 69214184.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48141299) 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, 24710 + ... + 26586.

It is an arithmetic number, because the mean of its divisors is an integer number (2678028).

Almost surely, 248141296 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 48141296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53560560).

48141296 is an abundant number, since it is smaller than the sum of its proper divisors (58979824).

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

48141296 is a wasteful number, since it uses less digits than its factorization.

48141296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2115 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 48141296 is about 6938.3928974943. The cubic root of 48141296 is about 363.7803690551.

The spelling of 48141296 in words is "forty-eight million, one hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 229 458 916 1603 1832 1877 3206 3664 3754 6412 7508 12824 13139 15016 25648 26278 30032 52556 105112 210224 429833 859666 1719332 3008831 3438664 6017662 6877328 12035324 24070648 48141296