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47141408 = 2517193449
BaseRepresentation
bin1011001111010…
…1001000100000
310021201000212002
42303311020200
544032011113
64402223132
71111460336
oct263651040
9107630762
1047141408
1124679046
1213954aa8
1399c7232
146391b56
154212c58
hex2cf5220

47141408 has 48 divisors (see below), whose sum is σ = 98998200. Its totient is φ = 22020096.

The previous prime is 47141377. The next prime is 47141417. The reversal of 47141408 is 80414174.

It can be written as a sum of positive squares in 4 ways, for example, as 42354064 + 4787344 = 6508^2 + 2188^2 .

It is an unprimeable number.

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, 104768 + ... + 105216.

Almost surely, 247141408 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 47141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49499100).

47141408 is an abundant number, since it is smaller than the sum of its proper divisors (51856792).

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

47141408 is a wasteful number, since it uses less digits than its factorization.

47141408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 47141408 is about 6865.9600930970. The cubic root of 47141408 is about 361.2441725093.

The spelling of 47141408 in words is "forty-seven million, one hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 193 272 386 449 544 772 898 1544 1796 3088 3281 3592 6176 6562 7184 7633 13124 14368 15266 26248 30532 52496 61064 86657 104992 122128 173314 244256 346628 693256 1386512 1473169 2773024 2946338 5892676 11785352 23570704 47141408