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41106492 = 2232733329
BaseRepresentation
bin1001110011001…
…1110000111100
32212100102111200
42130303300330
541010401432
64025015500
71006254000
oct234636074
985312450
1041106492
1121226a09
1211924590
13869338b
145660700
15391ea7c
hex2733c3c

41106492 has 72 divisors (see below), whose sum is σ = 121212000. Its totient is φ = 11741184.

The previous prime is 41106487. The next prime is 41106509. The reversal of 41106492 is 29460114.

41106492 is a `hidden beast` number, since 4 + 1 + 10 + 649 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10684 + ... + 14012.

It is an arithmetic number, because the mean of its divisors is an integer number (1683500).

Almost surely, 241106492 is an apocalyptic number.

41106492 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41106492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60606000).

41106492 is an abundant number, since it is smaller than the sum of its proper divisors (80105508).

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

41106492 is a wasteful number, since it uses less digits than its factorization.

41106492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41106492 is about 6411.4344728773. The cubic root of 41106492 is about 345.1200086596.

The spelling of 41106492 in words is "forty-one million, one hundred six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 3329 4116 6174 6658 9987 12348 13316 19974 23303 29961 39948 46606 59922 69909 93212 119844 139818 163121 209727 279636 326242 419454 489363 652484 838908 978726 1141847 1468089 1957452 2283694 2936178 3425541 4567388 5872356 6851082 10276623 13702164 20553246 41106492