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41379408 = 2432741051
BaseRepresentation
bin1001110111011…
…0011001010000
32212212021212200
42131312121100
541043120113
64034523200
71011501450
oct235663120
985767780
1041379408
11213a2a64
1211a36500
13875a675
1456d1d60
153975873
hex2776650

41379408 has 60 divisors (see below), whose sum is σ = 132351648. Its totient is φ = 11822400.

The previous prime is 41379407. The next prime is 41379409. The reversal of 41379408 is 80497314.

It is a happy number.

41379408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41379407) and next prime (41379409).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 19518 + ... + 21533.

Almost surely, 241379408 is an apocalyptic number.

41379408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41379408 is an abundant number, since it is smaller than the sum of its proper divisors (90972240).

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

41379408 is a wasteful number, since it uses less digits than its factorization.

41379408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41072 (or 41063 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 41379408 is about 6432.6827995790. The cubic root of 41379408 is about 345.8821031268.

The spelling of 41379408 in words is "forty-one million, three hundred seventy-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 41051 82102 123153 164204 246306 287357 328408 369459 492612 574714 656816 738918 862071 985224 1149428 1477836 1724142 1970448 2298856 2586213 2955672 3448284 4597712 5172426 5911344 6896568 10344852 13793136 20689704 41379408