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48020220 = 22325192739
BaseRepresentation
bin1011011100101…
…1101011111100
310100100200100200
42313023223330
544243121340
64433123500
71122110433
oct267135374
9110320320
1048020220
1125119336
12140b9590
139c44241
14654011a
154338330
hex2dcbafc

48020220 has 108 divisors (see below), whose sum is σ = 153939240. Its totient is φ = 12115008.

The previous prime is 48020213. The next prime is 48020221. The reversal of 48020220 is 2202084.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 48020193 and 48020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64611 + ... + 65349.

Almost surely, 248020220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76969620).

48020220 is an abundant number, since it is smaller than the sum of its proper divisors (105919020).

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

48020220 is a wasteful number, since it uses less digits than its factorization.

48020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48020220 is about 6929.6623294357. The cubic root of 48020220 is about 363.4751422058.

It can be divided in two parts, 4 and 8020220, that added together give a square (8020224 = 28322).

The spelling of 48020220 in words is "forty-eight million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 739 855 1083 1140 1444 1478 1710 1805 2166 2217 2956 3249 3420 3610 3695 4332 4434 5415 6498 6651 7220 7390 8868 10830 11085 12996 13302 14041 14780 16245 21660 22170 26604 28082 32490 33255 42123 44340 56164 64980 66510 70205 84246 126369 133020 140410 168492 210615 252738 266779 280820 421230 505476 533558 631845 800337 842460 1067116 1263690 1333895 1600674 2401011 2527380 2667790 3201348 4001685 4802022 5335580 8003370 9604044 12005055 16006740 24010110 48020220