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48420680 = 23571179199
BaseRepresentation
bin1011100010110…
…1011101001000
310101010000200112
42320231131020
544343430210
64445453452
71125366110
oct270553510
9111100615
1048420680
11253721a0
1214271288
13a0545b9
146606040
1543b6d05
hex2e2d748

48420680 has 128 divisors (see below), whose sum is σ = 138240000. Its totient is φ = 14826240.

The previous prime is 48420677. The next prime is 48420719. The reversal of 48420680 is 8602484.

48420680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 243221 + ... + 243419.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 248420680 is an apocalyptic number.

48420680 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 48420680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120000).

48420680 is an abundant number, since it is smaller than the sum of its proper divisors (89819320).

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

48420680 is a wasteful number, since it uses less digits than its factorization.

48420680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 48420680 is about 6958.4969641439. The cubic root of 48420680 is about 364.4827351147.

The spelling of 48420680 in words is "forty-eight million, four hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 79 88 110 140 154 158 199 220 280 308 316 385 395 398 440 553 616 632 770 790 796 869 995 1106 1393 1540 1580 1592 1738 1990 2189 2212 2765 2786 3080 3160 3476 3980 4345 4378 4424 5530 5572 6083 6952 6965 7960 8690 8756 10945 11060 11144 12166 13930 15323 15721 17380 17512 21890 22120 24332 27860 30415 30646 31442 34760 43780 48664 55720 60830 61292 62884 76615 78605 87560 110047 121660 122584 125768 153230 157210 172931 220094 243320 306460 314420 345862 440188 550235 612920 628840 691724 864655 880376 1100470 1210517 1383448 1729310 2200940 2421034 3458620 4401880 4842068 6052585 6917240 9684136 12105170 24210340 48420680