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41033408 = 2613149331
BaseRepresentation
bin1001110010000…
…1111011000000
32212012201020212
42130201323000
541001032113
64023253252
71005530633
oct234417300
985181225
1041033408
1121187009
12118aa228
138669030
145641c1a
1539080a8
hex2721ec0

41033408 has 56 divisors (see below), whose sum is σ = 88544400. Its totient is φ = 18754560.

The previous prime is 41033401. The next prime is 41033411. The reversal of 41033408 is 80433014.

It is not an unprimeable number, because it can be changed into a prime (41033401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 123803 + ... + 124133.

It is an arithmetic number, because the mean of its divisors is an integer number (1581150).

Almost surely, 241033408 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 41033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44272200).

41033408 is an abundant number, since it is smaller than the sum of its proper divisors (47510992).

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

41033408 is a wasteful number, since it uses less digits than its factorization.

41033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 41033408 is about 6405.7324327512. The cubic root of 41033408 is about 344.9153555560.

The spelling of 41033408 in words is "forty-one million, thirty-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 149 208 298 331 416 596 662 832 1192 1324 1937 2384 2648 3874 4303 4768 5296 7748 8606 9536 10592 15496 17212 21184 30992 34424 49319 61984 68848 98638 123968 137696 197276 275392 394552 641147 789104 1282294 1578208 2564588 3156416 5129176 10258352 20516704 41033408