Search a number
-
+
47050560 = 2632517312
BaseRepresentation
bin1011001101111…
…0111101000000
310021112102020100
42303132331000
544021104220
64400242400
71110631434
oct263367500
9107472210
1047050560
1124616867
1213910400
139994a8b
14636a9c4
1541e5d90
hex2cdef40

47050560 has 252 divisors, whose sum is σ = 177059844. Its totient is φ = 11427840.

The previous prime is 47050541. The next prime is 47050561. The reversal of 47050560 is 6505074.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 19927296 = 5208^2 + 4464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47050561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1517745 + ... + 1517775.

Almost surely, 247050560 is an apocalyptic number.

47050560 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 47050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88529922).

47050560 is an abundant number, since it is smaller than the sum of its proper divisors (130009284).

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

47050560 is a wasteful number, since it uses less digits than its factorization.

47050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 47050560 is about 6859.3410762259. The cubic root of 47050560 is about 361.0119674877.

The spelling of 47050560 in words is "forty-seven million, fifty thousand, five hundred sixty".