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108090048 = 2631161839
BaseRepresentation
bin1100111000101…
…01001011000000
321112101112200010
412130111023000
5210132340143
614420424520
72451515223
oct634251300
9245345603
10108090048
1156017720
1230248140
1319516c11
14104d95ba
159751a33
hex67152c0

108090048 has 112 divisors (see below), whose sum is σ = 317479680. Its totient is φ = 32179200.

The previous prime is 108090043. The next prime is 108090067. The reversal of 108090048 is 840090801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 108089997 and 108090024.

It is not an unprimeable number, because it can be changed into a prime (108090043) by changing a digit.

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, 128413 + ... + 129251.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 2108090048 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 108090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

108090048 is an abundant number, since it is smaller than the sum of its proper divisors (209389632).

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

108090048 is a wasteful number, since it uses less digits than its factorization.

108090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 108090048 is about 10396.6363791372. The cubic root of 108090048 is about 476.3526327950.

The spelling of 108090048 in words is "one hundred eight million, ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 176 183 192 244 264 352 366 488 528 671 704 732 839 976 1056 1342 1464 1678 1952 2013 2112 2517 2684 2928 3356 3904 4026 5034 5368 5856 6712 8052 9229 10068 10736 11712 13424 16104 18458 20136 21472 26848 27687 32208 36916 40272 42944 51179 53696 55374 64416 73832 80544 102358 110748 128832 147664 153537 161088 204716 221496 295328 307074 409432 442992 562969 590656 614148 818864 885984 1125938 1228296 1637728 1688907 1771968 2251876 2456592 3275456 3377814 4503752 4913184 6755628 9007504 9826368 13511256 18015008 27022512 36030016 54045024 108090048