Search a number
-
+
48734784 = 263471779
BaseRepresentation
bin1011100111101…
…0001001000000
310101200222120000
42321322021000
544434003114
64500320000
71131144630
oct271721100
9111628500
1048734784
112556718a
12143a3000
13a134567
1466886c0
154429e09
hex2e7a240

48734784 has 280 divisors, whose sum is σ = 177027840. Its totient is φ = 12939264.

The previous prime is 48734747. The next prime is 48734789. The reversal of 48734784 is 48743784.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48734789) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 616857 + ... + 616935.

Almost surely, 248734784 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 48734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

48734784 is an abundant number, since it is smaller than the sum of its proper divisors (128293056).

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

48734784 is a wasteful number, since it uses less digits than its factorization.

48734784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 48734784 is about 6981.0302964534. The cubic root of 48734784 is about 365.2691678146.

The spelling of 48734784 in words is "forty-eight million, seven hundred thirty-four thousand, seven hundred eighty-four".