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41042016 = 2532314597
BaseRepresentation
bin1001110010010…
…0000001100000
32212020011001200
42130210001200
541001321031
64023401200
71005565011
oct234440140
985204050
1041042016
1121192524
12118b3200
13866cc22
145645008
15390a8e6
hex2724060

41042016 has 72 divisors (see below), whose sum is σ = 120504384. Its totient is φ = 13236480.

The previous prime is 41042009. The next prime is 41042021. The reversal of 41042016 is 61024014.

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

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 41042016.

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, 6630 + ... + 11226.

It is an arithmetic number, because the mean of its divisors is an integer number (1673672).

Almost surely, 241042016 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 41042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60252192).

41042016 is an abundant number, since it is smaller than the sum of its proper divisors (79462368).

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

41042016 is a wasteful number, since it uses less digits than its factorization.

41042016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4633 counting only the distinct ones).

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

The square root of 41042016 is about 6406.4042957029. The cubic root of 41042016 is about 344.9394726834.

The spelling of 41042016 in words is "forty-one million, forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 4597 8928 9194 13791 18388 27582 36776 41373 55164 73552 82746 110328 142507 147104 165492 220656 285014 330984 427521 441312 570028 661968 855042 1140056 1282563 1323936 1710084 2280112 2565126 3420168 4560224 5130252 6840336 10260504 13680672 20521008 41042016