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41406480 = 24325131439
BaseRepresentation
bin1001110111110…
…1000000010000
32212220200000100
42131331000100
541100001410
64035252400
71011643413
oct235750020
985820010
1041406480
1121411335
1211a4a100
138769a9b
1456dbb7a
15397d8c0
hex277d010

41406480 has 120 divisors (see below), whose sum is σ = 140437440. Its totient is φ = 10932480.

The previous prime is 41406479. The next prime is 41406493. The reversal of 41406480 is 8460414.

41406480 is a `hidden beast` number, since 4 + 14 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×414064803 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94101 + ... + 94539.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 241406480 is an apocalyptic number.

41406480 is a gapful number since it is divisible by the number (40) 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 41406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218720).

41406480 is an abundant number, since it is smaller than the sum of its proper divisors (99030960).

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

41406480 is a wasteful number, since it uses less digits than its factorization.

41406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41406480 is about 6434.7867097519. The cubic root of 41406480 is about 345.9575164741.

Adding to 41406480 its reverse (8460414), we get a palindrome (49866894).

The spelling of 41406480 in words is "forty-one million, four hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 439 524 655 720 786 878 1048 1179 1310 1317 1572 1756 1965 2096 2195 2358 2620 2634 3144 3512 3930 3951 4390 4716 5240 5268 5895 6288 6585 7024 7860 7902 8780 9432 10480 10536 11790 13170 15720 15804 17560 18864 19755 21072 23580 26340 31440 31608 35120 39510 47160 52680 57509 63216 79020 94320 105360 115018 158040 172527 230036 287545 316080 345054 460072 517581 575090 690108 862635 920144 1035162 1150180 1380216 1725270 2070324 2300360 2587905 2760432 3450540 4140648 4600720 5175810 6901080 8281296 10351620 13802160 20703240 41406480