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47422368 = 253377841
BaseRepresentation
bin1011010011100…
…1101110100000
310022020022021000
42310321232200
544120003433
64412232000
71114040430
oct264715640
9108208230
1047422368
1124850144
1213a6b600
139a95096
1464262c0
15426b113
hex2d39ba0

47422368 has 96 divisors (see below), whose sum is σ = 158094720. Its totient is φ = 13547520.

The previous prime is 47422339. The next prime is 47422381. The reversal of 47422368 is 86322474.

47422368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2128 + ... + 9968.

It is an arithmetic number, because the mean of its divisors is an integer number (1646820).

Almost surely, 247422368 is an apocalyptic number.

47422368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47422368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79047360).

47422368 is an abundant number, since it is smaller than the sum of its proper divisors (110672352).

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

47422368 is a wasteful number, since it uses less digits than its factorization.

47422368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7853 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 47422368 is about 6886.3900557549. The cubic root of 47422368 is about 361.9604160903.

The spelling of 47422368 in words is "forty-seven million, four hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 7841 15682 23523 31364 47046 54887 62728 70569 94092 109774 125456 141138 164661 188184 211707 219548 250912 282276 329322 376368 423414 439096 493983 564552 658644 752736 846828 878192 987966 1129104 1317288 1481949 1693656 1756384 1975932 2258208 2634576 2963898 3387312 3951864 5269152 5927796 6774624 7903728 11855592 15807456 23711184 47422368