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47089296 = 2433195737
BaseRepresentation
bin1011001110100…
…0011010010000
310021121101101000
42303220122100
544023324141
64401142000
71111152402
oct263503220
9107541330
1047089296
1124642981
121392a900
1399a95b7
14637ab72
1542025b6
hex2ce8690

47089296 has 80 divisors (see below), whose sum is σ = 142302400. Its totient is φ = 14867712.

The previous prime is 47089267. The next prime is 47089297. The reversal of 47089296 is 69298074.

It is a happy number.

47089296 is a `hidden beast` number, since 470 + 8 + 92 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (47089297) 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 15 ways as a sum of consecutive naturals, for example, 5340 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (1778780).

Almost surely, 247089296 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 47089296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71151200).

47089296 is an abundant number, since it is smaller than the sum of its proper divisors (95213104).

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

47089296 is a wasteful number, since it uses less digits than its factorization.

47089296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 47089296 is about 6862.1640901395. The cubic root of 47089296 is about 361.1110121727. Note that the first 3 decimals are identical.

The spelling of 47089296 in words is "forty-seven million, eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 5737 8208 11474 17211 22948 34422 45896 51633 68844 91792 103266 109003 137688 154899 206532 218006 275376 309798 327009 413064 436012 619596 654018 826128 872024 981027 1239192 1308036 1744048 1962054 2478384 2616072 2943081 3924108 5232144 5886162 7848216 11772324 15696432 23544648 47089296