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47049444 = 223313233147
BaseRepresentation
bin1011001101111…
…0101011100100
310021112100201000
42303132223210
544021040234
64400233300
71110625251
oct263365344
9107470630
1047049444
1124615a42
121390b830
139994410
14636a428
1541e5899
hex2cdeae4

47049444 has 192 divisors, whose sum is σ = 144506880. Its totient is φ = 13115520.

The previous prime is 47049437. The next prime is 47049479. The reversal of 47049444 is 44494074.

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 47049399 and 47049408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1001029 + ... + 1001075.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 247049444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47049444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

47049444 is an abundant number, since it is smaller than the sum of its proper divisors (97457436).

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

47049444 is a wasteful number, since it uses less digits than its factorization.

47049444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 47049444 is about 6859.2597268218. The cubic root of 47049444 is about 361.0091131643.

The spelling of 47049444 in words is "forty-seven million, forty-nine thousand, four hundred forty-four".