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47472144 = 2431377219
BaseRepresentation
bin1011010100010…
…1111000010000
310022022211112120
42311011320100
544123102034
64413254240
71114335516
oct265057020
9108284476
1047472144
1124884585
1213a94380
139ab1935
14643a4b6
15427ac49
hex2d45e10

47472144 has 40 divisors (see below), whose sum is σ = 123548640. Its totient is φ = 15706368.

The previous prime is 47472133. The next prime is 47472149. The reversal of 47472144 is 44127474.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47472149) 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 7 ways as a sum of consecutive naturals, for example, 2967 + ... + 10185.

It is an arithmetic number, because the mean of its divisors is an integer number (3088716).

Almost surely, 247472144 is an apocalyptic number.

It is an amenable number.

47472144 is an abundant number, since it is smaller than the sum of its proper divisors (76076496).

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

47472144 is a wasteful number, since it uses less digits than its factorization.

47472144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367 (or 7361 counting only the distinct ones).

The product of its digits is 25088, while the sum is 33.

The square root of 47472144 is about 6890.0031930326. The cubic root of 47472144 is about 362.0870134633.

The spelling of 47472144 in words is "forty-seven million, four hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 7219 14438 21657 28876 43314 57752 86628 115504 173256 346512 989003 1978006 2967009 3956012 5934018 7912024 11868036 15824048 23736072 47472144