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47016672 = 253736709
BaseRepresentation
bin1011001101011…
…0101011100000
310021110200202020
42303112223200
544014013142
64355421440
71110430563
oct263265340
9107420666
1047016672
11245a335a
12138b4880
139982521
14635c4da
1541dacec
hex2cd6ae0

47016672 has 48 divisors (see below), whose sum is σ = 125128080. Its totient is φ = 15455232.

The previous prime is 47016649. The next prime is 47016689. The reversal of 47016672 is 27661074.

47016672 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, 3654 + ... + 10362.

It is an arithmetic number, because the mean of its divisors is an integer number (2606835).

Almost surely, 247016672 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 47016672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62564040).

47016672 is an abundant number, since it is smaller than the sum of its proper divisors (78111408).

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

47016672 is a wasteful number, since it uses less digits than its factorization.

47016672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 47016672 is about 6856.8704231595. The cubic root of 47016672 is about 360.9252741385.

The spelling of 47016672 in words is "forty-seven million, sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 6709 7008 13418 20127 26836 40254 53672 80508 107344 161016 214688 322032 489757 644064 979514 1469271 1959028 2938542 3918056 5877084 7836112 11754168 15672224 23508336 47016672