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47682912 = 2531273911
BaseRepresentation
bin1011010111100…
…1010101100000
310022201112122210
42311321111200
544201323122
64422002120
71116204144
oct265712540
9108645583
1047682912
1124a08972
1213b76340
139b56854
146493224
1542bd40c
hex2d79560

47682912 has 48 divisors (see below), whose sum is σ = 126185472. Its totient is φ = 15765120.

The previous prime is 47682893. The next prime is 47682937. The reversal of 47682912 is 21928674.

47682912 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 (48).

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, 10237 + ... + 14147.

It is an arithmetic number, because the mean of its divisors is an integer number (2628864).

Almost surely, 247682912 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 47682912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63092736).

47682912 is an abundant number, since it is smaller than the sum of its proper divisors (78502560).

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

47682912 is a wasteful number, since it uses less digits than its factorization.

47682912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4043 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 47682912 is about 6905.2814569719. The cubic root of 47682912 is about 362.6220899892.

The spelling of 47682912 in words is "forty-seven million, six hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 3911 4064 6096 7822 11733 12192 15644 23466 31288 46932 62576 93864 125152 187728 375456 496697 993394 1490091 1986788 2980182 3973576 5960364 7947152 11920728 15894304 23841456 47682912