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48005840 = 245600073
BaseRepresentation
bin1011011100100…
…0001011010000
310100022221122002
42313020023100
544242141330
64432533132
71122020501
oct267101320
9110287562
1048005840
1125109553
12140b11a8
139c3a82c
146538ba8
154333e45
hex2dc82d0

48005840 has 20 divisors (see below), whose sum is σ = 111613764. Its totient is φ = 19202304.

The previous prime is 48005791. The next prime is 48005891. The reversal of 48005840 is 4850084.

It can be written as a sum of positive squares in 2 ways, for example, as 11669056 + 36336784 = 3416^2 + 6028^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 299957 + ... + 300116.

Almost surely, 248005840 is an apocalyptic number.

48005840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48005840 is an abundant number, since it is smaller than the sum of its proper divisors (63607924).

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

48005840 is a wasteful number, since it uses less digits than its factorization.

48005840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600086 (or 600080 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 48005840 is about 6928.6246831532. The cubic root of 48005840 is about 363.4388568358.

The spelling of 48005840 in words is "forty-eight million, five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 600073 1200146 2400292 3000365 4800584 6000730 9601168 12001460 24002920 48005840