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47005008 = 2432342577
BaseRepresentation
bin1011001101001…
…1110101010000
310021110002202020
42303103311100
544013130013
64355251440
71110351561
oct263236520
9107402666
1047005008
1124595616
12138a9b80
13997a11b
146358168
1541d7623
hex2cd3d50

47005008 has 40 divisors (see below), whose sum is σ = 126712128. Its totient is φ = 14986752.

The previous prime is 47004973. The next prime is 47005009. The reversal of 47005008 is 80050074.

47005008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47005009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20185 + ... + 22392.

Almost surely, 247005008 is an apocalyptic number.

47005008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47005008 is an abundant number, since it is smaller than the sum of its proper divisors (79707120).

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

47005008 is a wasteful number, since it uses less digits than its factorization.

47005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42611 (or 42605 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 47005008 is about 6856.0198366107. The cubic root of 47005008 is about 360.8954252899.

The spelling of 47005008 in words is "forty-seven million, five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 42577 85154 127731 170308 255462 340616 510924 681232 979271 1021848 1958542 2043696 2937813 3917084 5875626 7834168 11751252 15668336 23502504 47005008