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41413104 = 24321392069
BaseRepresentation
bin1001110111111…
…0100111110000
32212221000002200
42131332213300
541100204404
64035343200
71012001625
oct235764760
985830080
1041413104
1121416307
1211a51b00
13876cac5
14570034c
153980839
hex277e9f0

41413104 has 60 divisors (see below), whose sum is σ = 116789400. Its totient is φ = 13698432.

The previous prime is 41413081. The next prime is 41413121. The reversal of 41413104 is 40131414.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18982 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (1946490).

Almost surely, 241413104 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 41413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58394700).

41413104 is an abundant number, since it is smaller than the sum of its proper divisors (75376296).

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

41413104 is a wasteful number, since it uses less digits than its factorization.

41413104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41413104 is about 6435.3013915434. The cubic root of 41413104 is about 345.9759636704.

Adding to 41413104 its reverse (40131414), we get a palindrome (81544518).

The spelling of 41413104 in words is "forty-one million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2069 2224 2502 3336 4138 5004 6207 6672 8276 10008 12414 16552 18621 20016 24828 33104 37242 49656 74484 99312 148968 287591 297936 575182 862773 1150364 1725546 2300728 2588319 3451092 4601456 5176638 6902184 10353276 13804368 20706552 41413104