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48204880 = 2453891549
BaseRepresentation
bin1011011111100…
…0110001010000
310100201001122221
42313320301100
544320024010
64441110424
71123510003
oct267706120
9110631587
1048204880
1125235049
1214188414
139caa2c9
14658b53a
154372dda
hex2df8c50

48204880 has 40 divisors (see below), whose sum is σ = 112437000. Its totient is φ = 19219968.

The previous prime is 48204869. The next prime is 48204887. The reversal of 48204880 is 8840284.

48204880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 47720464 = 696^2 + 6908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48204887) 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 7 ways as a sum of consecutive naturals, for example, 30346 + ... + 31894.

It is an arithmetic number, because the mean of its divisors is an integer number (2810925).

Almost surely, 248204880 is an apocalyptic number.

48204880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48204880 is an abundant number, since it is smaller than the sum of its proper divisors (64232120).

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

48204880 is a wasteful number, since it uses less digits than its factorization.

48204880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 48204880 is about 6942.9734264219. The cubic root of 48204880 is about 363.9404563876.

The spelling of 48204880 in words is "forty-eight million, two hundred four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 389 778 1549 1556 1945 3098 3112 3890 6196 6224 7745 7780 12392 15490 15560 24784 30980 31120 61960 123920 602561 1205122 2410244 3012805 4820488 6025610 9640976 12051220 24102440 48204880