Search a number
-
+
48478100 = 22521144071
BaseRepresentation
bin1011100011101…
…1011110010100
310101012221110012
42320323132110
544402244400
64451015352
71126025366
oct270733624
9111187405
1048478100
1125401350
121429a558
13a074788
14661cd36
1543c8d35
hex2e3b794

48478100 has 36 divisors (see below), whose sum is σ = 114763488. Its totient is φ = 17628000.

The previous prime is 48478099. The next prime is 48478109. The reversal of 48478100 is 187484.

It is a super-2 number, since 2×484781002 = 4700252359220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48478109) 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, 20936 + ... + 23135.

Almost surely, 248478100 is an apocalyptic number.

It is an amenable number.

48478100 is an abundant number, since it is smaller than the sum of its proper divisors (66285388).

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

48478100 is a wasteful number, since it uses less digits than its factorization.

48478100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44096 (or 44089 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 48478100 is about 6962.6216326898. The cubic root of 48478100 is about 364.6267529966.

The spelling of 48478100 in words is "forty-eight million, four hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 44071 88142 176284 220355 440710 484781 881420 969562 1101775 1939124 2203550 2423905 4407100 4847810 9695620 12119525 24239050 48478100