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41113968 = 2437122363
BaseRepresentation
bin1001110011010…
…1100101110000
32212100210202120
42130311211300
541011121333
64025114240
71006314540
oct234654560
985323676
1041113968
1121231595
1211928980
1386968bc
145663320
153921db3
hex2735970

41113968 has 40 divisors (see below), whose sum is σ = 121385088. Its totient is φ = 11746752.

The previous prime is 41113951. The next prime is 41113981. The reversal of 41113968 is 86931114.

41113968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 60846 + ... + 61517.

Almost surely, 241113968 is an apocalyptic number.

41113968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41113968 is an abundant number, since it is smaller than the sum of its proper divisors (80271120).

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

41113968 is a wasteful number, since it uses less digits than its factorization.

41113968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122381 (or 122375 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 41113968 is about 6412.0174672251. The cubic root of 41113968 is about 345.1409296112.

The spelling of 41113968 in words is "forty-one million, one hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 122363 244726 367089 489452 734178 856541 978904 1468356 1713082 1957808 2569623 2936712 3426164 5139246 5873424 6852328 10278492 13704656 20556984 41113968