Search a number
-
+
41155296 = 2537213673
BaseRepresentation
bin1001110011111…
…1101011100000
32212102220110020
42130333223200
541013432141
64030033440
71006546200
oct234775340
985386406
1041155296
112125a646
1211948880
1386ac660
145674400
15392e266
hex273fae0

41155296 has 144 divisors (see below), whose sum is σ = 135538704. Its totient is φ = 10838016.

The previous prime is 41155271. The next prime is 41155307. The reversal of 41155296 is 69255114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60816 + ... + 61488.

It is an arithmetic number, because the mean of its divisors is an integer number (941241).

Almost surely, 241155296 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 41155296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67769352).

41155296 is an abundant number, since it is smaller than the sum of its proper divisors (94383408).

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

41155296 is a wasteful number, since it uses less digits than its factorization.

41155296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 698 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 41155296 is about 6415.2393564075. The cubic root of 41155296 is about 345.2565367741.

The spelling of 41155296 in words is "forty-one million, one hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 673 728 784 1092 1176 1248 1274 1346 1456 1568 1911 2019 2184 2352 2548 2692 2912 3822 4038 4368 4704 4711 5096 5384 7644 8076 8736 8749 9422 10192 10768 14133 15288 16152 17498 18844 20384 21536 26247 28266 30576 32304 32977 34996 37688 52494 56532 61152 61243 64608 65954 69992 75376 98931 104988 113064 122486 131908 139984 150752 183729 197862 209976 226128 244972 263816 279968 367458 395724 419952 428701 452256 489944 527632 734916 791448 839904 857402 979888 1055264 1286103 1469832 1582896 1714804 1959776 2572206 2939664 3165792 3429608 5144412 5879328 6859216 10288824 13718432 20577648 41155296