Search a number
-
+
32290896 = 24311232659
BaseRepresentation
bin111101100101…
…1100001010000
32020202112210010
41323023201100
531231302041
63112034520
7541316361
oct173134120
966675703
1032290896
11172556a0
12a992a40
1368c7951
144407b68
152c7ca16
hex1ecb850

32290896 has 80 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 9356160.

The previous prime is 32290889. The next prime is 32290957. The reversal of 32290896 is 69809223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10815 + ... + 13473.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 232290896 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 32290896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

32290896 is an abundant number, since it is smaller than the sum of its proper divisors (62703024).

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

32290896 is a wasteful number, since it uses less digits than its factorization.

32290896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 32290896 is about 5682.5078970469. The cubic root of 32290896 is about 318.4393279031.

The spelling of 32290896 in words is "thirty-two million, two hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 2659 3036 4048 5318 6072 7977 10636 12144 15954 21272 29249 31908 42544 58498 61157 63816 87747 116996 122314 127632 175494 183471 233992 244628 350988 366942 467984 489256 672727 701976 733884 978512 1345454 1403952 1467768 2018181 2690908 2935536 4036362 5381816 8072724 10763632 16145448 32290896