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47888001 = 3272333049
BaseRepresentation
bin1011011010101…
…1011010000001
310100002221222200
42312223122001
544224404001
64430223413
71121020110
oct266533201
9110087880
1047888001
1125038a67
1214054b69
139bc8cc5
146507c77
15430e086
hex2dab681

47888001 has 24 divisors (see below), whose sum is σ = 82492800. Its totient is φ = 26174016.

The previous prime is 47887949. The next prime is 47888003. The reversal of 47888001 is 10088874.

47888001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47888001 - 214 = 47871617 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47888003) 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 23 ways as a sum of consecutive naturals, for example, 15076 + ... + 17973.

It is an arithmetic number, because the mean of its divisors is an integer number (3437200).

Almost surely, 247888001 is an apocalyptic number.

It is an amenable number.

47888001 is a deficient number, since it is larger than the sum of its proper divisors (34604799).

47888001 is a wasteful number, since it uses less digits than its factorization.

47888001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33085 (or 33082 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 47888001 is about 6920.1156782239. The cubic root of 47888001 is about 363.1412377562.

The spelling of 47888001 in words is "forty-seven million, eight hundred eighty-eight thousand, one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 33049 99147 231343 297441 694029 760127 2082087 2280381 5320889 6841143 15962667 47888001