Search a number
-
+
47084544 = 2103313131
BaseRepresentation
bin1011001110011…
…1010000000000
310021121010212000
42303213100000
544023201134
64401104000
71111132503
oct263472000
9107533760
1047084544
112463a351
1213928000
1399a73a0
14637913a
154200e99
hex2ce7400

47084544 has 176 divisors, whose sum is σ = 151314240. Its totient is φ = 14376960.

The previous prime is 47084539. The next prime is 47084549. The reversal of 47084544 is 44548074.

It is an interprime number because it is at equal distance from previous prime (47084539) and next prime (47084549).

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

It is a junction number, because it is equal to n+sod(n) for n = 47084499 and 47084508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47084549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359359 + ... + 359489.

It is an arithmetic number, because the mean of its divisors is an integer number (859740).

Almost surely, 247084544 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 47084544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75657120).

47084544 is an abundant number, since it is smaller than the sum of its proper divisors (104229696).

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

47084544 is a wasteful number, since it uses less digits than its factorization.

47084544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 47084544 is about 6861.8178349472. The cubic root of 47084544 is about 361.0988646331.

The spelling of 47084544 in words is "forty-seven million, eighty-four thousand, five hundred forty-four".