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48021680 = 2457292957
BaseRepresentation
bin1011011100110…
…0000010110000
310100100202100202
42313030002300
544243143210
64433134332
71122114620
oct267140260
9110322322
1048021680
112511a443
12140ba3a8
139c44ac5
146540880
1543389a5
hex2dcc0b0

48021680 has 80 divisors (see below), whose sum is σ = 132045120. Its totient is φ = 15891456.

The previous prime is 48021667. The next prime is 48021691. The reversal of 48021680 is 8612084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

48021680 is a modest number, since divided by 21680 gives 480 as remainder.

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, 14762 + ... + 17718.

It is an arithmetic number, because the mean of its divisors is an integer number (1650564).

Almost surely, 248021680 is an apocalyptic number.

48021680 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 48021680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66022560).

48021680 is an abundant number, since it is smaller than the sum of its proper divisors (84023440).

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

48021680 is a wasteful number, since it uses less digits than its factorization.

48021680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 48021680 is about 6929.7676728733. The cubic root of 48021680 is about 363.4788258508.

The spelling of 48021680 in words is "forty-eight million, twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 2957 3248 4060 5914 8120 11828 14785 16240 20699 23656 29570 41398 47312 59140 82796 85753 103495 118280 165592 171506 206990 236560 331184 343012 413980 428765 600271 686024 827960 857530 1200542 1372048 1655920 1715060 2401084 3001355 3430120 4802168 6002710 6860240 9604336 12005420 24010840 48021680