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47909472 = 2531322953
BaseRepresentation
bin1011011011000…
…0101001100000
310100011001102220
42312300221200
544231100342
64430511040
71121136522
oct266605140
9110131386
1047909472
1125053106
1214065480
139c05a00
146511a12
1543155ec
hex2db0a60

47909472 has 72 divisors (see below), whose sum is σ = 136226664. Its totient is φ = 14736384.

The previous prime is 47909453. The next prime is 47909473. The reversal of 47909472 is 27490974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47909473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14748 + ... + 17700.

It is an arithmetic number, because the mean of its divisors is an integer number (1892037).

Almost surely, 247909472 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 47909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68113332).

47909472 is an abundant number, since it is smaller than the sum of its proper divisors (88317192).

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

47909472 is a wasteful number, since it uses less digits than its factorization.

47909472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 47909472 is about 6921.6668512722. Note that the first 3 decimals coincide. The cubic root of 47909472 is about 363.1955021534.

The spelling of 47909472 in words is "forty-seven million, nine hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 2953 4056 5408 5906 8112 8859 11812 16224 17718 23624 35436 38389 47248 70872 76778 94496 115167 141744 153556 230334 283488 307112 460668 499057 614224 921336 998114 1228448 1497171 1842672 1996228 2994342 3685344 3992456 5988684 7984912 11977368 15969824 23954736 47909472