[go: up one dir, main page]

Search a number
-
+
81103248 = 24331941241
BaseRepresentation
bin1001101010110…
…00100110010000
312122121110202000
410311120212100
5131230300443
612014154000
72003236422
oct465304620
9178543660
1081103248
1141865086
12231b2900
1313a585b5
14aab2812
1571c08d3
hex4d58990

81103248 has 160 divisors (see below), whose sum is σ = 252067200. Its totient is φ = 24883200.

The previous prime is 81103213. The next prime is 81103249. The reversal of 81103248 is 84230118.

It is a super-2 number, since 2×811032482 = 13155473672299008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81103249) 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 31 ways as a sum of consecutive naturals, for example, 336408 + ... + 336648.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 281103248 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 81103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126033600).

81103248 is an abundant number, since it is smaller than the sum of its proper divisors (170963952).

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

81103248 is a wasteful number, since it uses less digits than its factorization.

81103248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 81103248 is about 9005.7341732920. The cubic root of 81103248 is about 432.8586317817.

The spelling of 81103248 in words is "eighty-one million, one hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 41 48 54 57 72 76 82 108 114 123 144 152 164 171 216 228 241 246 304 328 342 369 432 456 482 492 513 656 684 723 738 779 912 964 984 1026 1107 1368 1446 1476 1558 1928 1968 2052 2169 2214 2337 2736 2892 2952 3116 3856 4104 4338 4428 4579 4674 5784 5904 6232 6507 7011 8208 8676 8856 9158 9348 9881 11568 12464 13014 13737 14022 17352 17712 18316 18696 19762 21033 26028 27474 28044 29643 34704 36632 37392 39524 41211 42066 52056 54948 56088 59286 73264 79048 82422 84132 88929 104112 109896 112176 118572 123633 158096 164844 168264 177858 187739 219792 237144 247266 266787 329688 336528 355716 375478 474288 494532 533574 563217 659376 711432 750956 989064 1067148 1126434 1422864 1501912 1689651 1978128 2134296 2252868 3003824 3379302 4268592 4505736 5068953 6758604 9011472 10137906 13517208 20275812 27034416 40551624 81103248