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41930016 = 253479293
BaseRepresentation
bin1001111111110…
…0110100100000
32220220021011120
42133330310200
541213230031
64054412240
71016253642
oct237746440
986807146
1041930016
1121739707
1212061080
1388c117b
1457d6892
153a33a96
hex27fcd20

41930016 has 48 divisors (see below), whose sum is σ = 112420224. Its totient is φ = 13677824.

The previous prime is 41929999. The next prime is 41930029. The reversal of 41930016 is 61003914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 9158.

It is an arithmetic number, because the mean of its divisors is an integer number (2342088).

Almost surely, 241930016 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 41930016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56210112).

41930016 is an abundant number, since it is smaller than the sum of its proper divisors (70490208).

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

41930016 is a wasteful number, since it uses less digits than its factorization.

41930016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 41930016 is about 6475.3390644815. The cubic root of 41930016 is about 347.4094887022.

The spelling of 41930016 in words is "forty-one million, nine hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 9293 18586 27879 37172 55758 74344 111516 148688 223032 297376 436771 446064 873542 892128 1310313 1747084 2620626 3494168 5241252 6988336 10482504 13976672 20965008 41930016