Search a number
-
+
47887840 = 25571113223
BaseRepresentation
bin1011011010101…
…1010111100000
310100002221202201
42312223113200
544224402330
64430222544
71121016460
oct266532740
9110087681
1047887840
1125038930
1214054a54
139bc8c00
146507ba0
15430deca
hex2dab5e0

47887840 has 288 divisors, whose sum is σ = 159376896. Its totient is φ = 13178880.

The previous prime is 47887823. The next prime is 47887849. The reversal of 47887840 is 4878874.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47887849) 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, 2082069 + ... + 2082091.

It is an arithmetic number, because the mean of its divisors is an integer number (553392).

Almost surely, 247887840 is an apocalyptic number.

47887840 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 47887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79688448).

47887840 is an abundant number, since it is smaller than the sum of its proper divisors (111489056).

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

47887840 is a wasteful number, since it uses less digits than its factorization.

47887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 46.

The square root of 47887840 is about 6920.1040454606. The cubic root of 47887840 is about 363.1408307941.

The spelling of 47887840 in words is "forty-seven million, eight hundred eighty-seven thousand, eight hundred forty".