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47875000 = 2356383
BaseRepresentation
bin1011011010100…
…0001110111000
310100002022011011
42312220032320
544224000000
64430043304
71120634155
oct266501670
9110068134
1047875000
112502a218
1214049534
139bc3104
14650322c
15430a2ba
hex2da83b8

47875000 has 56 divisors (see below), whose sum is σ = 112498560. Its totient is φ = 19100000.

The previous prime is 47874997. The next prime is 47875007. The reversal of 47875000 is 57874.

It is a happy number.

47875000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47875007) 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 13 ways as a sum of consecutive naturals, for example, 124809 + ... + 125191.

Almost surely, 247875000 is an apocalyptic number.

47875000 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 47875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56249280).

47875000 is an abundant number, since it is smaller than the sum of its proper divisors (64623560).

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

47875000 is an frugal number, since it uses more digits than its factorization.

47875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 47875000 is about 6919.1762515490. The cubic root of 47875000 is about 363.1083719969.

The spelling of 47875000 in words is "forty-seven million, eight hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 383 500 625 766 1000 1250 1532 1915 2500 3064 3125 3830 5000 6250 7660 9575 12500 15320 15625 19150 25000 31250 38300 47875 62500 76600 95750 125000 191500 239375 383000 478750 957500 1196875 1915000 2393750 4787500 5984375 9575000 11968750 23937500 47875000