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47742232 = 2331311619
BaseRepresentation
bin1011011000011…
…1110100011000
310022211120000211
42312013310120
544210222412
64423140504
71116542116
oct266076430
9108746024
1047742232
1124a4949a
1213ba4734
139b77855
1464aaab6
1542d0ca7
hex2d87d18

47742232 has 32 divisors (see below), whose sum is σ = 92851200. Its totient is φ = 22989600.

The previous prime is 47742209. The next prime is 47742259. The reversal of 47742232 is 23224774.

47742232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 47742194 and 47742203.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 76819 + ... + 77437.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 247742232 is an apocalyptic number.

It is an amenable number.

47742232 is a deficient number, since it is larger than the sum of its proper divisors (45108968).

47742232 is a wasteful number, since it uses less digits than its factorization.

47742232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 963 counting only the distinct ones).

The product of its digits is 18816, while the sum is 31.

The square root of 47742232 is about 6909.5753849278. The cubic root of 47742232 is about 362.7724011977.

It can be divided in two parts, 4774223 and 2, that added together give a square (4774225 = 21852).

The spelling of 47742232 in words is "forty-seven million, seven hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 31 62 124 248 311 619 622 1238 1244 2476 2488 4952 9641 19189 19282 38378 38564 76756 77128 153512 192509 385018 770036 1540072 5967779 11935558 23871116 47742232