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47889408 = 2103717131
BaseRepresentation
bin1011011010101…
…1110000000000
310100010000220210
42312223300000
544224430113
64430234120
71121024160
oct266536000
9110100823
1047889408
112503a026
1214055940
139bc9838
1465085a0
15430e6c3
hex2dabc00

47889408 has 176 divisors, whose sum is σ = 155637504. Its totient is φ = 12779520.

The previous prime is 47889403. The next prime is 47889409. The reversal of 47889408 is 80498874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47889403) 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 15 ways as a sum of consecutive naturals, for example, 365503 + ... + 365633.

It is an arithmetic number, because the mean of its divisors is an integer number (884304).

Almost surely, 247889408 is an apocalyptic number.

47889408 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 47889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77818752).

47889408 is an abundant number, since it is smaller than the sum of its proper divisors (107748096).

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

47889408 is a wasteful number, since it uses less digits than its factorization.

47889408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 47889408 is about 6920.2173376275. The cubic root of 47889408 is about 363.1447942123.

It can be divided in two parts, 4788 and 9408, that added together give a triangular number (14196 = T168).

The spelling of 47889408 in words is "forty-seven million, eight hundred eighty-nine thousand, four hundred eight".