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47028384 = 2533135379
BaseRepresentation
bin1011001101100…
…1100010100000
310021111021211000
42303121202200
544014402014
64355552000
71110506664
oct263314240
9107437730
1047028384
1124601137
12138bb600
139987960
1463628a4
1541de509
hex2cd98a0

47028384 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 14017536.

The previous prime is 47028383. The next prime is 47028389. The reversal of 47028384 is 48382074.

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 (47028383) 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 31 ways as a sum of consecutive naturals, for example, 595257 + ... + 595335.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 247028384 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 47028384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

47028384 is an abundant number, since it is smaller than the sum of its proper divisors (105381216).

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

47028384 is a wasteful number, since it uses less digits than its factorization.

47028384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 47028384 is about 6857.7244039113. The cubic root of 47028384 is about 360.9552408551.

The spelling of 47028384 in words is "forty-seven million, twenty-eight thousand, three hundred eighty-four".