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47066752 = 27715179
BaseRepresentation
bin1011001110001…
…0111010000000
310021120020110001
42303202322000
544022114002
64400445344
71111026565
oct263427200
9107506401
1047066752
1124627a47
1213919854
13999c265
14637286c
1541eaa87
hex2ce2e80

47066752 has 32 divisors (see below), whose sum is σ = 95104800. Its totient is φ = 23197440.

The previous prime is 47066737. The next prime is 47066759. The reversal of 47066752 is 25766074.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (47066759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6499 + ... + 11677.

It is an arithmetic number, because the mean of its divisors is an integer number (2972025).

Almost surely, 247066752 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 47066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47552400).

47066752 is an abundant number, since it is smaller than the sum of its proper divisors (48038048).

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

47066752 is an equidigital number, since it uses as much as digits as its factorization.

47066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 47066752 is about 6860.5212629945. The cubic root of 47066752 is about 361.0533756760.

The spelling of 47066752 in words is "forty-seven million, sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 5179 9088 10358 20716 41432 82864 165728 331456 367709 662912 735418 1470836 2941672 5883344 11766688 23533376 47066752