Search a number
-
+
41468416 = 291137199
BaseRepresentation
bin1001111000110…
…0001000000000
32220000210222021
42132030020000
541103442131
64040451224
71012322113
oct236141000
986023867
1041468416
1121453920
1211a79b14
13878c032
14571657a
153991e11
hex278c200

41468416 has 80 divisors (see below), whose sum is σ = 93297600. Its totient is φ = 18247680.

The previous prime is 41468381. The next prime is 41468417. The reversal of 41468416 is 61486414.

It is not an unprimeable number, because it can be changed into a prime (41468417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208285 + ... + 208483.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 241468416 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 41468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46648800).

41468416 is an abundant number, since it is smaller than the sum of its proper divisors (51829184).

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

41468416 is a wasteful number, since it uses less digits than its factorization.

41468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 41468416 is about 6439.5975029500. The cubic root of 41468416 is about 346.1299254784.

The spelling of 41468416 in words is "forty-one million, four hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 199 256 296 352 398 407 512 592 704 796 814 1184 1408 1592 1628 2189 2368 2816 3184 3256 4378 4736 5632 6368 6512 7363 8756 9472 12736 13024 14726 17512 18944 25472 26048 29452 35024 50944 52096 58904 70048 80993 101888 104192 117808 140096 161986 208384 235616 280192 323972 471232 560384 647944 942464 1120768 1295888 1884928 2591776 3769856 5183552 10367104 20734208 41468416