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47842038 = 23219592371
BaseRepresentation
bin1011011010000…
…0001011110110
310100000121221100
42312200023312
544221421123
64425230530
71120436106
oct266401366
9110017840
1047842038
1125007482
1214032446
139bb10ca
1464d5206
154300643
hex2da02f6

47842038 has 48 divisors (see below), whose sum is σ = 111009600. Its totient is φ = 14845680.

The previous prime is 47842037. The next prime is 47842061. The reversal of 47842038 is 83024874.

47842038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47841993 and 47842011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47842031) 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, 18993 + ... + 21363.

It is an arithmetic number, because the mean of its divisors is an integer number (2312700).

Almost surely, 247842038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47842038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55504800).

47842038 is an abundant number, since it is smaller than the sum of its proper divisors (63167562).

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

47842038 is a wasteful number, since it uses less digits than its factorization.

47842038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 47842038 is about 6916.7939104762. The cubic root of 47842038 is about 363.0250193351.

The spelling of 47842038 in words is "forty-seven million, eight hundred forty-two thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 59 114 118 171 177 342 354 531 1062 1121 2242 2371 3363 4742 6726 7113 10089 14226 20178 21339 42678 45049 90098 135147 139889 270294 279778 405441 419667 810882 839334 1259001 2518002 2657891 5315782 7973673 15947346 23921019 47842038