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47418072 = 23313192421
BaseRepresentation
bin1011010011100…
…0101011011000
310022020002100220
42310320223120
544114334242
64412200040
71114022052
oct264705330
9108202326
1047418072
1124847999
1213a69020
139a93140
1464248d2
154269bec
hex2d38ad8

47418072 has 96 divisors (see below), whose sum is σ = 135056880. Its totient is φ = 13789440.

The previous prime is 47418071. The next prime is 47418073. The reversal of 47418072 is 27081474.

47418072 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 (47418071) and next prime (47418073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47418071) 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, 112422 + ... + 112842.

Almost surely, 247418072 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 47418072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67528440).

47418072 is an abundant number, since it is smaller than the sum of its proper divisors (87638808).

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

47418072 is a wasteful number, since it uses less digits than its factorization.

47418072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 47418072 is about 6886.0781290950. The cubic root of 47418072 is about 361.9494857427.

The spelling of 47418072 in words is "forty-seven million, four hundred eighteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 361 421 456 494 722 741 842 988 1083 1263 1444 1482 1684 1976 2166 2526 2888 2964 3368 4332 4693 5052 5473 5928 7999 8664 9386 10104 10946 14079 15998 16419 18772 21892 23997 28158 31996 32838 37544 43784 47994 56316 63992 65676 95988 103987 112632 131352 151981 191976 207974 303962 311961 415948 455943 607924 623922 831896 911886 1215848 1247844 1823772 1975753 2495688 3647544 3951506 5927259 7903012 11854518 15806024 23709036 47418072