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46809840 = 243571117149
BaseRepresentation
bin1011001010010…
…0001011110000
310021002012000210
42302210023300
543440403330
64351144120
71105606560
oct262441360
9107065023
1046809840
1124471a20
1213815040
13990c33c
146306da0
1541998b0
hex2ca42f0

46809840 has 320 divisors, whose sum is σ = 192844800. Its totient is φ = 9093120.

The previous prime is 46809839. The next prime is 46809869. The reversal of 46809840 is 4890864.

It is a super-2 number, since 2×468098402 = 4382322241651200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314086 + ... + 314234.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 246809840 is an apocalyptic number.

46809840 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 46809840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

46809840 is an abundant number, since it is smaller than the sum of its proper divisors (146034960).

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

46809840 is a wasteful number, since it uses less digits than its factorization.

46809840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 46809840 is about 6841.7717003712. The cubic root of 46809840 is about 360.3952449131.

The spelling of 46809840 in words is "forty-six million, eight hundred nine thousand, eight hundred forty".