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41193216 = 283219941
BaseRepresentation
bin1001110100100…
…0111100000000
32212111211110200
42131020330000
541021140331
64030525200
71010064561
oct235107400
985454420
1041193216
1121286089
1211966800
1386c39ac
145684168
15393a5e6
hex2748f00

41193216 has 108 divisors (see below), whose sum is σ = 125154120. Its totient is φ = 12994560.

The previous prime is 41193211. The next prime is 41193223. The reversal of 41193216 is 61239114.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41193216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41193211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43306 + ... + 44246.

Almost surely, 241193216 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 41193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62577060).

41193216 is an abundant number, since it is smaller than the sum of its proper divisors (83960904).

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

41193216 is a wasteful number, since it uses less digits than its factorization.

41193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 965 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 41193216 is about 6418.1941385408. The cubic root of 41193216 is about 345.3625426448.

The spelling of 41193216 in words is "forty-one million, one hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 941 1152 1216 1368 1824 1882 2304 2432 2736 2823 3648 3764 4864 5472 5646 7296 7528 8469 10944 11292 14592 15056 16938 17879 21888 22584 30112 33876 35758 43776 45168 53637 60224 67752 71516 90336 107274 120448 135504 143032 160911 180672 214548 240896 271008 286064 321822 361344 429096 542016 572128 643644 722688 858192 1084032 1144256 1287288 1716384 2168064 2288512 2574576 3432768 4577024 5149152 6865536 10298304 13731072 20596608 41193216