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47997184 = 284332
BaseRepresentation
bin1011011100011…
…0000100000000
310100022111202111
42313012010000
544241402214
64432425104
71121653324
oct267060400
9110274674
1047997184
1125102aa4
12140a8194
139c36901
146535984
1543315c4
hex2dc6100

47997184 has 27 divisors (see below), whose sum is σ = 96028653. Its totient is φ = 23943168.

The previous prime is 47997181. The next prime is 47997203. The reversal of 47997184 is 48179974.

The square root of 47997184 is 6928.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5382400 + 42614784 = 2320^2 + 6528^2 .

It is a Duffinian number.

Its product of digits (508032) is a multiple of the sum of its prime factors (882).

It is not an unprimeable number, because it can be changed into a prime (47997181) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 110632 + ... + 111064.

Almost surely, 247997184 is an apocalyptic number.

47997184 is the 6928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47997184

47997184 is an abundant number, since it is smaller than the sum of its proper divisors (48031469).

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

47997184 is an frugal number, since it uses more digits than its factorization.

47997184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 435 counting only the distinct ones).

The product of its digits is 508032, while the sum is 49.

The cubic root of 47997184 is about 363.4170114669.

Multiplying 47997184 by its sum of digits (49), we get a square (2351862016 = 484962).

The spelling of 47997184 in words is "forty-seven million, nine hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 433 866 1732 3464 6928 13856 27712 55424 110848 187489 374978 749956 1499912 2999824 5999648 11999296 23998592 47997184