Search a number
-
+
41132016 = 243395213
BaseRepresentation
bin1001110011100…
…1111111110000
32212101201112000
42130321333300
541012211031
64025334000
71006421262
oct234717760
985351460
1041132016
1121244102
1211937300
1386a1b93
145669b32
1539273e6
hex2739ff0

41132016 has 40 divisors (see below), whose sum is σ = 118065360. Its totient is φ = 13710528.

The previous prime is 41132011. The next prime is 41132023. The reversal of 41132016 is 61023114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 41132016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132011) 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, 47175 + ... + 48038.

It is an arithmetic number, because the mean of its divisors is an integer number (2951634).

Almost surely, 241132016 is an apocalyptic number.

It is an amenable number.

41132016 is an abundant number, since it is smaller than the sum of its proper divisors (76933344).

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

41132016 is a wasteful number, since it uses less digits than its factorization.

41132016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95230 (or 95218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41132016 is about 6413.4246701743. The cubic root of 41132016 is about 345.1914249582.

The spelling of 41132016 in words is "forty-one million, one hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 95213 190426 285639 380852 571278 761704 856917 1142556 1523408 1713834 2285112 2570751 3427668 4570224 5141502 6855336 10283004 13710672 20566008 41132016