Search a number
-
+
41001468 = 22319315801
BaseRepresentation
bin1001110001101…
…0000111111100
32212011002102220
42130122013330
540444021333
64022445340
71005335544
oct234320774
985132386
1041001468
1121165012
1211893850
138657631
145634324
1538ed8b3
hex271a1fc

41001468 has 48 divisors (see below), whose sum is σ = 103971840. Its totient is φ = 12528000.

The previous prime is 41001463. The next prime is 41001469. The reversal of 41001468 is 86410014.

It is a super-2 number, since 2×410014682 = 3362240756310048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4168 + ... + 9968.

It is an arithmetic number, because the mean of its divisors is an integer number (2166080).

Almost surely, 241001468 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 41001468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51985920).

41001468 is an abundant number, since it is smaller than the sum of its proper divisors (62970372).

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

41001468 is a wasteful number, since it uses less digits than its factorization.

41001468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 41001468 is about 6403.2388679480. The cubic root of 41001468 is about 344.8258394224.

The spelling of 41001468 in words is "forty-one million, one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 5801 7068 11602 17403 23204 34806 69612 110219 179831 220438 330657 359662 440876 539493 661314 719324 1078986 1322628 2157972 3416789 6833578 10250367 13667156 20500734 41001468