[go: up one dir, main page]

Search a number
-
+
48831480 = 233251779101
BaseRepresentation
bin1011101001000…
…1101111111000
310101212220012100
42322101233320
5100000101410
64502343400
71132026555
oct272215770
9111786170
1048831480
11256228a5
121442ab60
13a169589
1466b1a2c
1544488c0
hex2e91bf8

48831480 has 192 divisors, whose sum is σ = 171849600. Its totient is φ = 11980800.

The previous prime is 48831467. The next prime is 48831487. The reversal of 48831480 is 8413884.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48831487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483430 + ... + 483530.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 248831480 is an apocalyptic number.

48831480 is a gapful number since it is divisible by the number (40) 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 48831480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

48831480 is an abundant number, since it is smaller than the sum of its proper divisors (123018120).

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

48831480 is a wasteful number, since it uses less digits than its factorization.

48831480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48831480 is about 6987.9524898213. The cubic root of 48831480 is about 365.5105883527.

The spelling of 48831480 in words is "forty-eight million, eight hundred thirty-one thousand, four hundred eighty".