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47889000 = 23325317313
BaseRepresentation
bin1011011010101…
…1101001101000
310100010000100200
42312223221220
544224422000
64430232200
71121023035
oct266535150
9110100320
1047889000
1125039795
1214055660
139bc95b3
14650838c
15430e500
hex2daba68

47889000 has 192 divisors, whose sum is σ = 171933840. Its totient is φ = 11980800.

The previous prime is 47888963. The next prime is 47889001. The reversal of 47889000 is 98874.

It can be written as a sum of positive squares in 8 ways, for example, as 30276 + 47858724 = 174^2 + 6918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (47889001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152844 + ... + 153156.

Almost surely, 247889000 is an apocalyptic number.

47889000 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 47889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85966920).

47889000 is an abundant number, since it is smaller than the sum of its proper divisors (124044840).

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

47889000 is a wasteful number, since it uses less digits than its factorization.

47889000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 47889000 is about 6920.1878587218. The cubic root of 47889000 is about 363.1437629230.

The spelling of 47889000 in words is "forty-seven million, eight hundred eighty-nine thousand".