Search a number
-
+
2638843056 = 243340115233
BaseRepresentation
bin1001110101001001…
…1000110010110000
320210220110010011000
42131102120302300
520401020434211
61113503322000
7122251536663
oct23522306260
96726403130
102638843056
111134615933
126178b0300
13330922cc5
141b06736da
15106a04656
hex9d498cb0

2638843056 has 80 divisors (see below), whose sum is σ = 7593844320. Its totient is φ = 877363200.

The previous prime is 2638843007. The next prime is 2638843073. The reversal of 2638843056 is 6503488362.

It is a happy number.

2638843056 is a `hidden beast` number, since 2 + 638 + 8 + 4 + 3 + 0 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165616 + ... + 180848.

It is an arithmetic number, because the mean of its divisors is an integer number (94923054).

Almost surely, 22638843056 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 2638843056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796922160).

2638843056 is an abundant number, since it is smaller than the sum of its proper divisors (4955001264).

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

2638843056 is a wasteful number, since it uses less digits than its factorization.

2638843056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15651 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2638843056 is about 51369.6705848889. The cubic root of 2638843056 is about 1381.8827232529.

The spelling of 2638843056 in words is "two billion, six hundred thirty-eight million, eight hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 401 432 802 1203 1604 2406 3208 3609 4812 6416 7218 9624 10827 14436 15233 19248 21654 28872 30466 43308 45699 57744 60932 86616 91398 121864 137097 173232 182796 243728 274194 365592 411291 548388 731184 822582 1096776 1645164 2193552 3290328 6108433 6580656 12216866 18325299 24433732 36650598 48867464 54975897 73301196 97734928 109951794 146602392 164927691 219903588 293204784 329855382 439807176 659710764 879614352 1319421528 2638843056