Search a number
-
+
47327072 = 2513293923
BaseRepresentation
bin1011010010001…
…0011101100000
310022001110112112
42310202131200
544103431242
64410214452
71113162542
oct264423540
9108043475
1047327072
1124795591
1213a24428
139a608b0
1463dd692
15424cc82
hex2d22760

47327072 has 48 divisors (see below), whose sum is σ = 103829040. Its totient is φ = 21084672.

The previous prime is 47327041. The next prime is 47327087. The reversal of 47327072 is 27072374.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10103 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (2163105).

Almost surely, 247327072 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 47327072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51914520).

47327072 is an abundant number, since it is smaller than the sum of its proper divisors (56501968).

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

47327072 is a wasteful number, since it uses less digits than its factorization.

47327072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 32.

The square root of 47327072 is about 6879.4674212471. The cubic root of 47327072 is about 361.7177984390.

The spelling of 47327072 in words is "forty-seven million, three hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 3923 6032 7846 12064 15692 31384 50999 62768 101998 113767 125536 203996 227534 407992 455068 815984 910136 1478971 1631968 1820272 2957942 3640544 5915884 11831768 23663536 47327072