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41368608 = 25323792
BaseRepresentation
bin1001110111001…
…1110000100000
32212211202001200
42131303300200
541042243413
64034401200
71011425121
oct235636040
985752050
1041368608
1121395936
1211a30200
138755788
1456cc048
153972573
hex2773c20

41368608 has 54 divisors (see below), whose sum is σ = 117953199. Its totient is φ = 13753152.

The previous prime is 41368603. The next prime is 41368609. The reversal of 41368608 is 80686314.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41368608 is a `hidden beast` number, since 41 + 3 + 6 + 8 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20684304 + 20684304 = 4548^2 + 4548^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4548.

It is a super-2 number, since 2×413686082 = 3422723455715328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41368603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108963 + ... + 109341.

Almost surely, 241368608 is an apocalyptic number.

41368608 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 41368608

41368608 is an abundant number, since it is smaller than the sum of its proper divisors (76584591).

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

41368608 is an equidigital number, since it uses as much as digits as its factorization.

41368608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41368608 is about 6431.8432816728. The cubic root of 41368608 is about 345.8520088365.

The spelling of 41368608 in words is "forty-one million, three hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 379 758 1137 1516 2274 3032 3411 4548 6064 6822 9096 12128 13644 18192 27288 36384 54576 109152 143641 287282 430923 574564 861846 1149128 1292769 1723692 2298256 2585538 3447384 4596512 5171076 6894768 10342152 13789536 20684304 41368608