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488801040 = 243571322381
BaseRepresentation
bin11101001000101…
…000001100010000
31021001202122222020
4131020220030100
52000113113130
6120300411440
715053511630
oct3510501420
91231678866
10488801040
11230a08502
12117846b80
137a3638b0
1448cbc6c0
152cda4e10
hex1d228310

488801040 has 160 divisors (see below), whose sum is σ = 1865047296. Its totient is φ = 103127040.

The previous prime is 488801039. The next prime is 488801041. The reversal of 488801040 is 40108884.

It is an interprime number because it is at equal distance from previous prime (488801039) and next prime (488801041).

It is a junction number, because it is equal to n+sod(n) for n = 488800992 and 488801010.

It is not an unprimeable number, because it can be changed into a prime (488801041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10650 + ... + 33030.

Almost surely, 2488801040 is an apocalyptic number.

488801040 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 488801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932523648).

488801040 is an abundant number, since it is smaller than the sum of its proper divisors (1376246256).

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

488801040 is a wasteful number, since it uses less digits than its factorization.

488801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22417 (or 22411 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 488801040 is about 22108.8452887074. The cubic root of 488801040 is about 787.7299786867.

It can be divided in two parts, 48 and 8801040, that added together give a palindrome (8801088).

The spelling of 488801040 in words is "four hundred eighty-eight million, eight hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 22381 44762 67143 89524 111905 134286 156667 179048 223810 268572 290953 313334 335715 358096 447620 470001 537144 581906 626668 671430 783335 872859 895240 940002 1074288 1163812 1253336 1342860 1454765 1566670 1745718 1790480 1880004 2036671 2327624 2350005 2506672 2685720 2909530 3133340 3491436 3760008 4073342 4364295 4655248 4700010 5371440 5819060 6110013 6266680 6982872 7520016 8146684 8728590 9400020 10183355 11638120 12220026 12533360 13965744 16293368 17457180 18800040 20366710 23276240 24440052 30550065 32586736 34914360 37600080 40733420 48880104 61100130 69828720 81466840 97760208 122200260 162933680 244400520 488801040