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47889072 = 24327211617
BaseRepresentation
bin1011011010101…
…1101010110000
310100010000110100
42312223222300
544224422242
64430232400
71121023200
oct266535260
9110100410
1047889072
1125039850
1214055700
139bc963a
146508400
15430e54c
hex2dabab0

47889072 has 180 divisors, whose sum is σ = 170352936. Its totient is φ = 12418560.

The previous prime is 47889067. The next prime is 47889073. The reversal of 47889072 is 27098874.

It is not an unprimeable number, because it can be changed into a prime (47889073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77308 + ... + 77924.

Almost surely, 247889072 is an apocalyptic number.

47889072 is a gapful number since it is divisible by the number (42) 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 47889072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176468).

47889072 is an abundant number, since it is smaller than the sum of its proper divisors (122463864).

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

47889072 is a wasteful number, since it uses less digits than its factorization.

47889072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 47889072 is about 6920.1930608907. The cubic root of 47889072 is about 363.1439449157.

The spelling of 47889072 in words is "forty-seven million, eight hundred eighty-nine thousand, seventy-two".