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47099008 = 271123041
BaseRepresentation
bin1011001110101…
…0110010000000
310021121212200201
42303222302000
544024132013
64401254544
71111222615
oct263526200
9107555621
1047099008
112464a200
1213934454
1399b0b48
14638050c
1542053dd
hex2ceac80

47099008 has 48 divisors (see below), whose sum is σ = 103169430. Its totient is φ = 21401600.

The previous prime is 47098981. The next prime is 47099023. The reversal of 47099008 is 80099074.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26956864 + 20142144 = 5192^2 + 4488^2 .

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 5 ways as a sum of consecutive naturals, for example, 13968 + ... + 17008.

Almost surely, 247099008 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 47099008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51584715).

47099008 is an abundant number, since it is smaller than the sum of its proper divisors (56070422).

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

47099008 is a wasteful number, since it uses less digits than its factorization.

47099008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 47099008 is about 6862.8717021375. The cubic root of 47099008 is about 361.1358364205.

The spelling of 47099008 in words is "forty-seven million, ninety-nine thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3041 3872 6082 7744 12164 15488 24328 33451 48656 66902 97312 133804 194624 267608 367961 389248 535216 735922 1070432 1471844 2140864 2943688 4281728 5887376 11774752 23549504 47099008