Search a number
-
+
41027968 = 27378663
BaseRepresentation
bin1001110010000…
…0100110000000
32212012102210101
42130200212000
541000343333
64023212144
71005506032
oct234404600
985172711
1041027968
1121182a13
12118a7054
138666707
14563dc52
15390667d
hex2720980

41027968 has 32 divisors (see below), whose sum is σ = 83954160. Its totient is φ = 19957248.

The previous prime is 41027947. The next prime is 41027969. The reversal of 41027968 is 86972014.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41027969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 405 + ... + 9067.

Almost surely, 241027968 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 41027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41977080).

41027968 is an abundant number, since it is smaller than the sum of its proper divisors (42926192).

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

41027968 is an equidigital number, since it uses as much as digits as its factorization.

41027968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 41027968 is about 6405.3077990054. The cubic root of 41027968 is about 344.9001125093.

The spelling of 41027968 in words is "forty-one million, twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 8663 17326 34652 69304 138608 277216 320531 554432 641062 1108864 1282124 2564248 5128496 10256992 20513984 41027968