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47149218 = 23223611867
BaseRepresentation
bin1011001111011…
…1000010100010
310021201102120100
42303313002202
544032233333
64402323230
71111522164
oct263670242
9107642510
1047149218
11246839a6
1213959516
1399ca95c
146394934
154215213
hex2cf70a2

47149218 has 48 divisors (see below), whose sum is σ = 108403776. Its totient is φ = 14778720.

The previous prime is 47149213. The next prime is 47149231. The reversal of 47149218 is 81294174.

47149218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47149213) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24321 + ... + 26187.

It is an arithmetic number, because the mean of its divisors is an integer number (2258412).

Almost surely, 247149218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47149218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54201888).

47149218 is an abundant number, since it is smaller than the sum of its proper divisors (61254558).

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

47149218 is a wasteful number, since it uses less digits than its factorization.

47149218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1956 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 47149218 is about 6866.5288173866. The cubic root of 47149218 is about 361.2641207269.

The spelling of 47149218 in words is "forty-seven million, one hundred forty-nine thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1098 1403 1867 2806 3734 4209 5601 8418 11202 12627 16803 25254 33606 42941 85882 113887 128823 227774 257646 341661 386469 683322 772938 1024983 2049966 2619401 5238802 7858203 15716406 23574609 47149218