Search a number
-
+
41895936 = 211322273
BaseRepresentation
bin1001111111010…
…0100000000000
32220211112102100
42133310200000
541211132221
64053550400
71016052405
oct237644000
986745370
1041895936
1121716045
1212045400
1388ab7c4
1457c82ac
153a28926
hex27f4800

41895936 has 72 divisors (see below), whose sum is σ = 121056390. Its totient is φ = 13959168.

The previous prime is 41895913. The next prime is 41895937. The reversal of 41895936 is 63959814.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 14017536 = 5280^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 41895891 and 41895900.

It is not an unprimeable number, because it can be changed into a prime (41895937) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17296 + ... + 19568.

Almost surely, 241895936 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 41895936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60528195).

41895936 is an abundant number, since it is smaller than the sum of its proper divisors (79160454).

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

41895936 is a wasteful number, since it uses less digits than its factorization.

41895936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2278 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 41895936 is about 6472.7070071184. The cubic root of 41895936 is about 347.3153403596.

The spelling of 41895936 in words is "forty-one million, eight hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2273 2304 3072 4546 4608 6144 6819 9092 9216 13638 18184 18432 20457 27276 36368 40914 54552 72736 81828 109104 145472 163656 218208 290944 327312 436416 581888 654624 872832 1163776 1309248 1745664 2327552 2618496 3491328 4655104 5236992 6982656 10473984 13965312 20947968 41895936