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108248928 = 25317193491
BaseRepresentation
bin1100111001110…
…11111101100000
321112200121121120
412130323331200
5210202431203
614424052240
72453046354
oct634737540
9245617546
10108248928
1156116027
1230304080
1319571328
141053b464
159783b53
hex673bf60

108248928 has 96 divisors (see below), whose sum is σ = 316794240. Its totient is φ = 32163840.

The previous prime is 108248927. The next prime is 108248929. The reversal of 108248928 is 829842801.

It is an interprime number because it is at equal distance from previous prime (108248927) and next prime (108248929).

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

It is a self number, because there is not a number n which added to its sum of digits gives 108248928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108248927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29263 + ... + 32753.

It is an arithmetic number, because the mean of its divisors is an integer number (3299940).

Almost surely, 2108248928 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 108248928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158397120).

108248928 is an abundant number, since it is smaller than the sum of its proper divisors (208545312).

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

108248928 is a wasteful number, since it uses less digits than its factorization.

108248928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 108248928 is about 10404.2745061825. The cubic root of 108248928 is about 476.5859131516.

The spelling of 108248928 in words is "one hundred eight million, two hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3491 3876 5168 6982 7752 10336 10473 13964 15504 20946 27928 31008 41892 55856 59347 66329 83784 111712 118694 132658 167568 178041 198987 237388 265316 335136 356082 397974 474776 530632 712164 795948 949552 1061264 1127593 1424328 1591896 1899104 2122528 2255186 2848656 3183792 3382779 4510372 5697312 6367584 6765558 9020744 13531116 18041488 27062232 36082976 54124464 108248928