Search a number
-
+
48481152 = 273251503
BaseRepresentation
bin1011100011110…
…0001110000000
310101020002122020
42320330032000
544402344102
64451041440
71126040316
oct270741600
9111202566
1048481152
1125403675
12142a0280
13a075c95
1466200b6
1543c9bbc
hex2e3c380

48481152 has 64 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 16064000.

The previous prime is 48481123. The next prime is 48481163. The reversal of 48481152 is 25118484.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96133 + ... + 96635.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 248481152 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 48481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

48481152 is an abundant number, since it is smaller than the sum of its proper divisors (81067008).

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

48481152 is a wasteful number, since it uses less digits than its factorization.

48481152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 48481152 is about 6962.8407995588. The cubic root of 48481152 is about 364.6344046819.

The spelling of 48481152 in words is "forty-eight million, four hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 384 502 503 753 1004 1006 1506 1509 2008 2012 3012 3018 4016 4024 6024 6036 8032 8048 12048 12072 16064 16096 24096 24144 32128 32192 48192 48288 64384 96384 96576 126253 193152 252506 378759 505012 757518 1010024 1515036 2020048 3030072 4040096 6060144 8080192 12120288 16160384 24240576 48481152