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47813274 = 23323137281
BaseRepresentation
bin1011011001100…
…1001010011010
310022222011111000
42312121022122
544220011044
64424445430
71120256205
oct266311232
9108864430
1047813274
1124a97903
1214019876
139ba0ca2
1464c893c
1542e6d69
hex2d9929a

47813274 has 64 divisors (see below), whose sum is σ = 112078080. Its totient is φ = 15079680.

The previous prime is 47813273. The next prime is 47813303. The reversal of 47813274 is 47231874.

It is a happy number.

47813274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×478132742 = 4572218341198152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47813273) 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 31 ways as a sum of consecutive naturals, for example, 170014 + ... + 170294.

It is an arithmetic number, because the mean of its divisors is an integer number (1751220).

Almost surely, 247813274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47813274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56039040).

47813274 is an abundant number, since it is smaller than the sum of its proper divisors (64264806).

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

47813274 is a wasteful number, since it uses less digits than its factorization.

47813274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 47813274 is about 6914.7143108013. The cubic root of 47813274 is about 362.9522510789.

The spelling of 47813274 in words is "forty-seven million, eight hundred thirteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 137 138 207 274 281 411 414 562 621 822 843 1233 1242 1686 2466 2529 3151 3699 5058 6302 6463 7398 7587 9453 12926 15174 18906 19389 28359 38497 38778 56718 58167 76994 85077 115491 116334 170154 174501 230982 346473 349002 692946 885431 1039419 1770862 2078838 2656293 5312586 7968879 15937758 23906637 47813274