Search a number
-
+
47710728 = 23331321307
BaseRepresentation
bin1011011000000…
…0001000001000
310022202221211000
42312000020020
544203220403
64422335000
71116351222
oct266001010
9108687730
1047710728
1124a2785a
1213b8a460
139b66400
14649d412
1542c67a3
hex2d80208

47710728 has 96 divisors (see below), whose sum is σ = 143618400. Its totient is φ = 14668992.

The previous prime is 47710699. The next prime is 47710739. The reversal of 47710728 is 82701774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47710692 and 47710701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35851 + ... + 37157.

It is an arithmetic number, because the mean of its divisors is an integer number (1496025).

Almost surely, 247710728 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 47710728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71809200).

47710728 is an abundant number, since it is smaller than the sum of its proper divisors (95907672).

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

47710728 is a wasteful number, since it uses less digits than its factorization.

47710728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 47710728 is about 6907.2952738391. The cubic root of 47710728 is about 362.6925885871.

The spelling of 47710728 in words is "forty-seven million, seven hundred ten thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1307 1352 1404 1521 2028 2614 2808 3042 3921 4056 4563 5228 6084 7842 9126 10456 11763 12168 15684 16991 18252 23526 31368 33982 35289 36504 47052 50973 67964 70578 94104 101946 135928 141156 152919 203892 220883 282312 305838 407784 441766 458757 611676 662649 883532 917514 1223352 1325298 1767064 1835028 1987947 2650596 3670056 3975894 5301192 5963841 7951788 11927682 15903576 23855364 47710728