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108468948 = 2237319273
BaseRepresentation
bin1100111011100…
…01101011010100
321120002210102110
412131301223110
5210232001243
614432511020
72454654000
oct635615324
9246083373
10108468948
1156256365
12303ab470
131961a513
1410597700
1597c8e33
hex6771ad4

108468948 has 144 divisors (see below), whose sum is σ = 315772800. Its totient is φ = 28957824.

The previous prime is 108468947. The next prime is 108468973. The reversal of 108468948 is 849864801.

It is a junction number, because it is equal to n+sod(n) for n = 108468897 and 108468906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108468947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1485840 + ... + 1485912.

Almost surely, 2108468948 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 108468948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157886400).

108468948 is an abundant number, since it is smaller than the sum of its proper divisors (207303852).

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

108468948 is a wasteful number, since it uses less digits than its factorization.

108468948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 108468948 is about 10414.8426776404. The cubic root of 108468948 is about 476.9085875397.

The spelling of 108468948 in words is "one hundred eight million, four hundred sixty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 73 76 84 98 114 133 146 147 196 219 228 266 292 294 343 361 399 438 511 532 588 686 722 798 876 931 1022 1029 1083 1372 1387 1444 1533 1596 1862 2044 2058 2166 2527 2774 2793 3066 3577 3724 4116 4161 4332 5054 5548 5586 6132 6517 7154 7581 8322 9709 10108 10731 11172 13034 14308 15162 16644 17689 19418 19551 21462 25039 26068 26353 29127 30324 35378 38836 39102 42924 50078 52706 53067 58254 67963 70756 75117 78204 79059 100156 105412 106134 116508 123823 135926 150234 158118 184471 203889 212268 247646 271852 300468 316236 368942 371469 407778 475741 495292 553413 737884 742938 815556 951482 1106826 1291297 1427223 1485876 1902964 2213652 2582594 2854446 3873891 5165188 5708892 7747782 9039079 15495564 18078158 27117237 36156316 54234474 108468948