Search a number
-
+
41170272 = 25311132999
BaseRepresentation
bin1001110100001…
…1010101100000
32212110122222220
42131003111200
541014422042
64030231040
71006640643
oct235032540
985418886
1041170272
112126a920
1211955480
1386b6410
145679a5a
1539338ec
hex2743560

41170272 has 96 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 11512320.

The previous prime is 41170231. The next prime is 41170289. The reversal of 41170272 is 27207114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12229 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 241170272 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 41170272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

41170272 is an abundant number, since it is smaller than the sum of its proper divisors (85837728).

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

41170272 is a wasteful number, since it uses less digits than its factorization.

41170272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 41170272 is about 6416.4064709150. The cubic root of 41170272 is about 345.2984101606.

Adding to 41170272 its reverse (27207114), we get a palindrome (68377386).

The spelling of 41170272 in words is "forty-one million, one hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 2999 3432 4576 5998 6864 8997 11996 13728 17994 23992 32989 35988 38987 47984 65978 71976 77974 95968 98967 116961 131956 143952 155948 197934 233922 263912 287904 311896 395868 428857 467844 527824 623792 791736 857714 935688 1055648 1247584 1286571 1583472 1715428 1871376 2573142 3166944 3430856 3742752 5146284 6861712 10292568 13723424 20585136 41170272