Search a number
-
+
4050352120 = 2353179173239
BaseRepresentation
bin1111000101101011…
…0111011111111000
3101110021110012120111
43301122313133320
531243342231440
61505525034104
7202241265523
oct36132673770
911407405514
104050352120
111799355551
12950555934
134c71a1179
142a5cddbba
1518a8be4ea
hexf16b77f8

4050352120 has 128 divisors (see below), whose sum is σ = 9621504000. Its totient is φ = 1532643840.

The previous prime is 4050352093. The next prime is 4050352127. The reversal of 4050352120 is 212530504.

It is a junction number, because it is equal to n+sod(n) for n = 4050352091 and 4050352100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050352127) 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, 16946961 + ... + 16947199.

It is an arithmetic number, because the mean of its divisors is an integer number (75168000).

Almost surely, 24050352120 is an apocalyptic number.

4050352120 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 4050352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810752000).

4050352120 is an abundant number, since it is smaller than the sum of its proper divisors (5571151880).

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

4050352120 is a wasteful number, since it uses less digits than its factorization.

4050352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 4050352120 is about 63642.3767626571. The cubic root of 4050352120 is about 1594.0340479087.

Adding to 4050352120 its reverse (212530504), we get a palindrome (4262882624).

The spelling of 4050352120 in words is "four billion, fifty million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 173 239 248 310 316 346 395 478 620 632 692 790 865 956 1195 1240 1384 1580 1730 1912 2390 2449 3160 3460 4780 4898 5363 6920 7409 9560 9796 10726 12245 13667 14818 18881 19592 21452 24490 26815 27334 29636 37045 37762 41347 42904 48980 53630 54668 59272 68335 74090 75524 82694 94405 97960 107260 109336 136670 148180 151048 165388 188810 206735 214520 273340 296360 330776 377620 413470 423677 546680 585311 755240 826940 847354 1170622 1281757 1653880 1694708 2118385 2341244 2563514 2926555 3266413 3389416 4236770 4682488 5127028 5853110 6408785 6532826 8473540 10254056 11706220 12817570 13065652 16332065 16947080 23412440 25635140 26131304 32664130 51270280 65328260 101258803 130656520 202517606 405035212 506294015 810070424 1012588030 2025176060 4050352120