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47449248 = 2537311131
BaseRepresentation
bin1011010100000…
…0010010100000
310022021200010120
42311000102200
544121333443
64413000240
71114212000
oct265002240
9108250116
1047449248
1124869360
1213a83080
139aa43a2
146432000
154274083
hex2d404a0

47449248 has 192 divisors, whose sum is σ = 159667200. Its totient is φ = 12230400.

The previous prime is 47449247. The next prime is 47449267. The reversal of 47449248 is 84294474.

It is a happy number.

It is a super-2 number, since 2×474492482 = 4502862271531008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (47449247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362143 + ... + 362273.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 247449248 is an apocalyptic number.

47449248 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 47449248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

47449248 is an abundant number, since it is smaller than the sum of its proper divisors (112217952).

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

47449248 is a wasteful number, since it uses less digits than its factorization.

47449248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 47449248 is about 6888.3414549513. The cubic root of 47449248 is about 362.0287921098.

The spelling of 47449248 in words is "forty-seven million, four hundred forty-nine thousand, two hundred forty-eight".