Search a number
-
+
4850021376 = 21032641821
BaseRepresentation
bin1001000010001010…
…10111010000000000
3110112000011121120100
410201011113100000
534413101141001
62121132442400
7231121334004
oct44105272000
913460147510
104850021376
11206978a932
12b34319400
135c3a69645
143401c0704
151d5bcd586
hex121157400

4850021376 has 132 divisors (see below), whose sum is σ = 14043263364. Its totient is φ = 1612185600.

The previous prime is 4850021353. The next prime is 4850021413. The reversal of 4850021376 is 6731200584.

It can be written as a sum of positive squares in 2 ways, for example, as 2983781376 + 1866240000 = 54624^2 + 43200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4850021376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5907046 + ... + 5907866.

Almost surely, 24850021376 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 4850021376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021631682).

4850021376 is an abundant number, since it is smaller than the sum of its proper divisors (9193241988).

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

4850021376 is a wasteful number, since it uses less digits than its factorization.

4850021376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4850021376 is about 69642.0948564875. The cubic root of 4850021376 is about 1692.7047681867.

The spelling of 4850021376 in words is "four billion, eight hundred fifty million, twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 641 768 821 1024 1152 1282 1536 1642 1923 2304 2463 2564 3072 3284 3846 4608 4926 5128 5769 6568 7389 7692 9216 9852 10256 11538 13136 14778 15384 19704 20512 23076 26272 29556 30768 39408 41024 46152 52544 59112 61536 78816 82048 92304 105088 118224 123072 157632 164096 184608 210176 236448 246144 315264 328192 369216 420352 472896 492288 526261 630528 656384 738432 840704 945792 984576 1052522 1261056 1476864 1578783 1891584 1969152 2105044 2522112 2953728 3157566 3783168 4210088 4736349 5907456 6315132 7566336 8420176 9472698 12630264 16840352 18945396 25260528 33680704 37890792 50521056 67361408 75781584 101042112 134722816 151563168 202084224 269445632 303126336 404168448 538891264 606252672 808336896 1212505344 1616673792 2425010688 4850021376