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48017112 = 233111317823
BaseRepresentation
bin1011011100101…
…0111011011000
310100100112002120
42313022323120
544243021422
64433101240
71122065403
oct267127330
9110315076
1048017112
1125116a70
12140b7820
139c429c0
14653cd3a
15433745c
hex2dcaed8

48017112 has 128 divisors (see below), whose sum is σ = 149506560. Its totient is φ = 12625920.

The previous prime is 48017089. The next prime is 48017113. The reversal of 48017112 is 21171084.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48017113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57933 + ... + 58755.

It is an arithmetic number, because the mean of its divisors is an integer number (1168020).

Almost surely, 248017112 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 48017112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74753280).

48017112 is an abundant number, since it is smaller than the sum of its proper divisors (101489448).

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

48017112 is a wasteful number, since it uses less digits than its factorization.

48017112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 48017112 is about 6929.4380724558. The cubic root of 48017112 is about 363.4673003348.

Adding to 48017112 its reverse (21171084), we get a palindrome (69188196).

The spelling of 48017112 in words is "forty-eight million, seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 823 858 884 1122 1144 1326 1496 1646 1716 1768 2244 2431 2469 2652 3292 3432 4488 4862 4938 5304 6584 7293 9053 9724 9876 10699 13991 14586 18106 19448 19752 21398 27159 27982 29172 32097 36212 41973 42796 54318 55964 58344 64194 72424 83946 85592 108636 111928 117689 128388 153901 167892 181883 217272 235378 256776 307802 335784 353067 363766 461703 470756 545649 615604 706134 727532 923406 941512 1091298 1231208 1412268 1455064 1846812 2000713 2182596 2824536 3693624 4001426 4365192 6002139 8002852 12004278 16005704 24008556 48017112