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47319168 = 273139479
BaseRepresentation
bin1011010010000…
…0100010000000
310022001001200210
42310200202000
544103203133
64410114120
71113130521
oct264404200
9108031623
1047319168
112478a656
1213a1b940
139a5a110
1463da848
15424a763
hex2d20880

47319168 has 64 divisors (see below), whose sum is σ = 135374400. Its totient is φ = 14558208.

The previous prime is 47319149. The next prime is 47319169. The reversal of 47319168 is 86191374.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (47319169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 253 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (2115225).

Almost surely, 247319168 is an apocalyptic number.

47319168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67687200).

47319168 is an abundant number, since it is smaller than the sum of its proper divisors (88055232).

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

47319168 is a wasteful number, since it uses less digits than its factorization.

47319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9497 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 47319168 is about 6878.8929341864. The cubic root of 47319168 is about 361.6976607283.

The spelling of 47319168 in words is "forty-seven million, three hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 9479 18958 28437 37916 56874 75832 113748 123227 151664 227496 246454 303328 369681 454992 492908 606656 739362 909984 985816 1213312 1478724 1819968 1971632 2957448 3639936 3943264 5914896 7886528 11829792 15773056 23659584 47319168