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46103040 = 293352329
BaseRepresentation
bin1010111111011…
…1101000000000
310012202021111000
42233313220000
543300244130
64324052000
71066604124
oct257675000
9105667430
1046103040
1124029995
1213534000
139722709
1461a1584
1540aa260
hex2bf7a00

46103040 has 320 divisors, whose sum is σ = 176774400. Its totient is φ = 11354112.

The previous prime is 46103027. The next prime is 46103041. The reversal of 46103040 is 4030164.

46103040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (46103041) 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 31 ways as a sum of consecutive naturals, for example, 1589746 + ... + 1589774.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 246103040 is an apocalyptic number.

46103040 is a gapful number since it is divisible by the number (40) 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 46103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

46103040 is an abundant number, since it is smaller than the sum of its proper divisors (130671360).

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

46103040 is a wasteful number, since it uses less digits than its factorization.

46103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 46103040 is about 6789.9219435867. The cubic root of 46103040 is about 358.5721218319.

The spelling of 46103040 in words is "forty-six million, one hundred three thousand, forty".