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4938052020 = 22351130724371
BaseRepresentation
bin1001001100101010…
…01011000110110100
3110202010211000220120
410212111023012310
540103120131040
62133555331540
7233240515056
oct44625130664
913663730816
104938052020
112104446630
12b598b0bb0
1360907c095
1434bb778d6
151dd7bb7d0
hex12654b1b4

4938052020 has 96 divisors (see below), whose sum is σ = 15133257216. Its totient is φ = 1193155200.

The previous prime is 4938051983. The next prime is 4938052027. The reversal of 4938052020 is 202508394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938052027) 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, 190435 + ... + 214805.

It is an arithmetic number, because the mean of its divisors is an integer number (157638096).

Almost surely, 24938052020 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 4938052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566628608).

4938052020 is an abundant number, since it is smaller than the sum of its proper divisors (10195205196).

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

4938052020 is a wasteful number, since it uses less digits than its factorization.

4938052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24701 (or 24699 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4938052020 is about 70271.2745010363. The cubic root of 4938052020 is about 1702.8846088879.

The spelling of 4938052020 in words is "four billion, nine hundred thirty-eight million, fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 307 330 614 660 921 1228 1535 1842 3070 3377 3684 4605 6140 6754 9210 10131 13508 16885 18420 20262 24371 33770 40524 48742 50655 67540 73113 97484 101310 121855 146226 202620 243710 268081 292452 365565 487420 536162 731130 804243 1072324 1340405 1462260 1608486 2680810 3216972 4021215 5361620 7481897 8042430 14963794 16084860 22445691 29927588 37409485 44891382 74818970 82300867 89782764 112228455 149637940 164601734 224456910 246902601 329203468 411504335 448913820 493805202 823008670 987610404 1234513005 1646017340 2469026010 4938052020