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41385408 = 263439491
BaseRepresentation
bin1001110111011…
…1110111000000
32212212121002220
42131313313000
541043313113
64035011040
71011525111
oct235676700
985777086
1041385408
11213a7519
1211a39a80
13876030c
1456d4208
153977523
hex2777dc0

41385408 has 56 divisors (see below), whose sum is σ = 109971840. Its totient is φ = 13735680.

The previous prime is 41385347. The next prime is 41385413. The reversal of 41385408 is 80458314.

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, 84043 + ... + 84533.

Almost surely, 241385408 is an apocalyptic number.

41385408 is a gapful number since it is divisible by the number (48) 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 41385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54985920).

41385408 is an abundant number, since it is smaller than the sum of its proper divisors (68586432).

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

41385408 is a wasteful number, since it uses less digits than its factorization.

41385408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 41385408 is about 6433.1491510768. The cubic root of 41385408 is about 345.8988199144.

The spelling of 41385408 in words is "forty-one million, three hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 439 491 878 982 1317 1473 1756 1964 2634 2946 3512 3928 5268 5892 7024 7856 10536 11784 14048 15712 21072 23568 28096 31424 42144 47136 84288 94272 215549 431098 646647 862196 1293294 1724392 2586588 3448784 5173176 6897568 10346352 13795136 20692704 41385408