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48831360 = 273529877
BaseRepresentation
bin1011101001000…
…1101110000000
310101212220000220
42322101232000
5100000100420
64502343040
71132026324
oct272215600
9111786026
1048831360
11256227a6
121442aa80
13a1694c6
1466b1984
154448840
hex2e91b80

48831360 has 128 divisors (see below), whose sum is σ = 161200800. Its totient is φ = 12558336.

The previous prime is 48831347. The next prime is 48831371. The reversal of 48831360 is 6313884.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 55242 + ... + 56118.

Almost surely, 248831360 is an apocalyptic number.

48831360 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 48831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80600400).

48831360 is an abundant number, since it is smaller than the sum of its proper divisors (112369440).

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

48831360 is a wasteful number, since it uses less digits than its factorization.

48831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48831360 is about 6987.9439036100. The cubic root of 48831360 is about 365.5102889468.

The spelling of 48831360 in words is "forty-eight million, eight hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 877 928 960 1160 1392 1740 1754 1856 1920 2320 2631 2784 3480 3508 3712 4385 4640 5262 5568 6960 7016 8770 9280 10524 11136 13155 13920 14032 17540 18560 21048 25433 26310 27840 28064 35080 42096 50866 52620 55680 56128 70160 76299 84192 101732 105240 112256 127165 140320 152598 168384 203464 210480 254330 280640 305196 336768 381495 406928 420960 508660 561280 610392 762990 813856 841920 1017320 1220784 1525980 1627712 1683840 2034640 2441568 3051960 3255424 4069280 4883136 6103920 8138560 9766272 12207840 16277120 24415680 48831360