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41379400 = 2352206897
BaseRepresentation
bin1001110111011…
…0011001001000
32212212021212101
42131312121020
541043120100
64034523144
71011501436
oct235663110
985767771
1041379400
11213a2a57
1211a364b4
13875a66a
1456d1d56
15397586a
hex2776648

41379400 has 24 divisors (see below), whose sum is σ = 96207570. Its totient is φ = 16551680.

The previous prime is 41379353. The next prime is 41379407. The reversal of 41379400 is 497314.

41379400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27436644 + 13942756 = 5238^2 + 3734^2 .

It is not an unprimeable number, because it can be changed into a prime (41379407) 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 5 ways as a sum of consecutive naturals, for example, 103249 + ... + 103648.

Almost surely, 241379400 is an apocalyptic number.

41379400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41379400 is an abundant number, since it is smaller than the sum of its proper divisors (54828170).

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

41379400 is a wasteful number, since it uses less digits than its factorization.

41379400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206913 (or 206904 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 41379400 is about 6432.6821777545. The cubic root of 41379400 is about 345.8820808367.

The spelling of 41379400 in words is "forty-one million, three hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 206897 413794 827588 1034485 1655176 2068970 4137940 5172425 8275880 10344850 20689700 41379400