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41129440 = 2551123369
BaseRepresentation
bin1001110011100…
…1010111100000
32212101120222121
42130321113200
541012120230
64025314024
71006410622
oct234712740
985346877
1041129440
1121242180
1211935914
1386a0961
145668c12
15392677a
hex27395e0

41129440 has 48 divisors (see below), whose sum is σ = 106006320. Its totient is φ = 14955520.

The previous prime is 41129423. The next prime is 41129461. The reversal of 41129440 is 4492114.

41129440 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, 9925 + ... + 13444.

It is an arithmetic number, because the mean of its divisors is an integer number (2208465).

Almost surely, 241129440 is an apocalyptic number.

41129440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41129440 is an abundant number, since it is smaller than the sum of its proper divisors (64876880).

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

41129440 is a wasteful number, since it uses less digits than its factorization.

41129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23395 (or 23387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 41129440 is about 6413.2238382891. The cubic root of 41129440 is about 345.1842186360.

The spelling of 41129440 in words is "forty-one million, one hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 23369 46738 93476 116845 186952 233690 257059 373904 467380 514118 747808 934760 1028236 1285295 1869520 2056472 2570590 3739040 4112944 5141180 8225888 10282360 20564720 41129440