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41883040 = 255673907
BaseRepresentation
bin1001111111000…
…1010110100000
32220210212201201
42133301112200
541210224130
64053410544
71015666663
oct237612640
986725651
1041883040
1121707391
1212039a54
1388a5984
1457c36da
153a24bca
hex27f15a0

41883040 has 48 divisors (see below), whose sum is σ = 100451232. Its totient is φ = 16498944.

The previous prime is 41883029. The next prime is 41883041. The reversal of 41883040 is 4038814.

41883040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41883041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8767 + ... + 12673.

It is an arithmetic number, because the mean of its divisors is an integer number (2092734).

Almost surely, 241883040 is an apocalyptic number.

41883040 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 41883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50225616).

41883040 is an abundant number, since it is smaller than the sum of its proper divisors (58568192).

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

41883040 is a wasteful number, since it uses less digits than its factorization.

41883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 41883040 is about 6471.7107475535. The cubic root of 41883040 is about 347.2797009580.

The spelling of 41883040 in words is "forty-one million, eight hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 3907 5360 7814 10720 15628 19535 31256 39070 62512 78140 125024 156280 261769 312560 523538 625120 1047076 1308845 2094152 2617690 4188304 5235380 8376608 10470760 20941520 41883040