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108649242 = 23313374789
BaseRepresentation
bin1100111100111…
…01101100011010
321120102221202000
412132131230122
5210303233432
614440421430
72456334432
oct636355432
9246387660
10108649242
1156369869
1230477876
13196815c0
14106032c2
15981257c
hex679db1a

108649242 has 128 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 31477248.

The previous prime is 108649223. The next prime is 108649259. The reversal of 108649242 is 242946801.

108649242 is a `hidden beast` number, since 1 + 0 + 8 + 649 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 108649197 and 108649206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1220734 + ... + 1220822.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2108649242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108649242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

108649242 is an abundant number, since it is smaller than the sum of its proper divisors (167139558).

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

108649242 is a wasteful number, since it uses less digits than its factorization.

108649242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 108649242 is about 10423.4947114679. The cubic root of 108649242 is about 477.1726759032.

The spelling of 108649242 in words is "one hundred eight million, six hundred forty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 47 54 74 78 89 94 111 117 141 178 222 234 267 282 333 351 423 481 534 611 666 702 801 846 962 999 1157 1222 1269 1443 1602 1739 1833 1998 2314 2403 2538 2886 3293 3471 3478 3666 4183 4329 4806 5217 5499 6586 6942 8366 8658 9879 10413 10434 10998 12549 12987 15651 16497 19758 20826 22607 25098 25974 29637 31239 31302 32994 37647 42809 45214 46953 54379 59274 62478 67821 75294 85618 88911 93906 108758 112941 128427 135642 154771 163137 177822 203463 225882 256854 309542 326274 385281 406926 464313 489411 610389 770562 928626 978822 1155843 1220778 1392939 1468233 2012023 2311686 2785878 2936466 4024046 4178817 6036069 8357634 12072138 18108207 36216414 54324621 108649242