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48175116 = 223113161193
BaseRepresentation
bin1011011111000…
…1100000001100
310100122112211120
42313301200030
544313100431
64440320540
71123324143
oct267614014
9110575746
1048175116
1125214750
1214173150
139c998b2
14658075a
154369196
hex2df180c

48175116 has 96 divisors (see below), whose sum is σ = 129325056. Its totient is φ = 13824000.

The previous prime is 48175111. The next prime is 48175117. The reversal of 48175116 is 61157184.

It is a happy number.

It is a super-2 number, since 2×481751162 = 4641683603226912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (48175111) 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, 249516 + ... + 249708.

It is an arithmetic number, because the mean of its divisors is an integer number (1347136).

Almost surely, 248175116 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 48175116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64662528).

48175116 is an abundant number, since it is smaller than the sum of its proper divisors (81149940).

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

48175116 is a wasteful number, since it uses less digits than its factorization.

48175116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 48175116 is about 6940.8296334084. The cubic root of 48175116 is about 363.8655362137.

Adding to 48175116 its product of digits (6720), we get a triangular number (48181836 = T9816).

The spelling of 48175116 in words is "forty-eight million, one hundred seventy-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 61 62 66 93 122 124 132 183 186 193 244 341 366 372 386 579 671 682 732 772 1023 1158 1342 1364 1891 2013 2046 2123 2316 2684 3782 4026 4092 4246 5673 5983 6369 7564 8052 8492 11346 11773 11966 12738 17949 20801 22692 23546 23932 25476 35319 35898 41602 47092 62403 65813 70638 71796 83204 124806 129503 131626 141276 197439 249612 259006 263252 364963 388509 394878 518012 729926 777018 789756 1094889 1459852 1554036 2189778 4014593 4379556 8029186 12043779 16058372 24087558 48175116