Search a number
-
+
47107104 = 25311311439
BaseRepresentation
bin1011001110110…
…0110000100000
310021122021210120
42303230300200
544024411404
64401400240
71111255332
oct263546040
9107567716
1047107104
11246552a0
1213939080
1399b4735
146383452
1542079d9
hex2cecc20

47107104 has 96 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 13804800.

The previous prime is 47107091. The next prime is 47107111. The reversal of 47107104 is 40170174.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 32017 + ... + 33455.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 247107104 is an apocalyptic number.

47107104 is a gapful number since it is divisible by the number (44) 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 47107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

47107104 is an abundant number, since it is smaller than the sum of its proper divisors (92238816).

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

47107104 is a wasteful number, since it uses less digits than its factorization.

47107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 47107104 is about 6863.4615173395. The cubic root of 47107104 is about 361.1565275019.

Adding to 47107104 its reverse (40170174), we get a palindrome (87277278).

The spelling of 47107104 in words is "forty-seven million, one hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1439 1488 2046 2728 2878 2976 4092 4317 5456 5756 8184 8634 10912 11512 15829 16368 17268 23024 31658 32736 34536 44609 46048 47487 63316 69072 89218 94974 126632 133827 138144 178436 189948 253264 267654 356872 379896 490699 506528 535308 713744 759792 981398 1070616 1427488 1472097 1519584 1962796 2141232 2944194 3925592 4282464 5888388 7851184 11776776 15702368 23553552 47107104