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47245032 = 23368101
BaseRepresentation
bin1011010000111…
…0011011101000
310021220022000000
42310032123220
544043320112
64404343000
71112401422
oct264163350
9107808000
1047245032
112473998a
12139a4a60
139a32453
1463bb812
1542337dc
hex2d0e6e8

47245032 has 56 divisors (see below), whose sum is σ = 132832290. Its totient is φ = 15746400.

The previous prime is 47245021. The next prime is 47245043. The reversal of 47245032 is 23054274.

47245032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47245021) and next prime (47245043).

It can be written as a sum of positive squares in only one way, i.e., 24147396 + 23097636 = 4914^2 + 4806^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 47244987 and 47245005.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 1782 + ... + 9882.

Almost surely, 247245032 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 47245032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66416145).

47245032 is an abundant number, since it is smaller than the sum of its proper divisors (85587258).

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

47245032 is an equidigital number, since it uses as much as digits as its factorization.

47245032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 47245032 is about 6873.5021641082. The cubic root of 47245032 is about 361.5086687200.

The spelling of 47245032 in words is "forty-seven million, two hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 8101 16202 24303 32404 48606 64808 72909 97212 145818 194424 218727 291636 437454 583272 656181 874908 1312362 1749816 1968543 2624724 3937086 5249448 5905629 7874172 11811258 15748344 23622516 47245032