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47375328 = 253711131729
BaseRepresentation
bin1011010010111…
…0001111100000
310022010220201210
42310232033200
544112002303
64411230120
71113453330
oct264561740
9108126653
1047375328
1124818870
1213a48340
139a79850
1464130c0
15425c203
hex2d2e3e0

47375328 has 384 divisors, whose sum is σ = 182891520. Its totient is φ = 10321920.

The previous prime is 47375309. The next prime is 47375329. The reversal of 47375328 is 82357374.

47375328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (141120) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47375329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633618 + ... + 1633646.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 247375328 is an apocalyptic number.

47375328 is a gapful number since it is divisible by the number (48) 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 47375328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

47375328 is an abundant number, since it is smaller than the sum of its proper divisors (135516192).

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

47375328 is a wasteful number, since it uses less digits than its factorization.

47375328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 47375328 is about 6882.9737759198. The cubic root of 47375328 is about 361.8406958572.

The spelling of 47375328 in words is "forty-seven million, three hundred seventy-five thousand, three hundred twenty-eight".