Search a number
-
+
41004432 = 24327192141
BaseRepresentation
bin1001110001101…
…0110110010000
32212011020111200
42130122312100
540444120212
64022511200
71005350310
oct234326620
985136450
1041004432
1121167267
1211895500
138658aa1
145635440
1538ee6dc
hex271ad90

41004432 has 120 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 11093760.

The previous prime is 41004421. The next prime is 41004479. The reversal of 41004432 is 23440014.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 18082 + ... + 20222.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 241004432 is an apocalyptic number.

41004432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41004432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

41004432 is an abundant number, since it is smaller than the sum of its proper divisors (97111728).

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

41004432 is a wasteful number, since it uses less digits than its factorization.

41004432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41004432 is about 6403.4703091371. The cubic root of 41004432 is about 344.8341483864.

Adding to 41004432 its reverse (23440014), we get a palindrome (64444446).

The spelling of 41004432 in words is "forty-one million, four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2141 2394 2736 3192 4282 4788 6384 6423 8564 9576 12846 14987 17128 19152 19269 25692 29974 34256 38538 40679 44961 51384 59948 77076 81358 89922 102768 119896 122037 134883 154152 162716 179844 239792 244074 269766 284753 308304 325432 359688 366111 488148 539532 569506 650864 719376 732222 854259 976296 1079064 1139012 1464444 1708518 1952592 2158128 2278024 2562777 2928888 3417036 4556048 5125554 5857776 6834072 10251108 13668144 20502216 41004432