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2638998752 = 251331434759
BaseRepresentation
bin1001110101001011…
…1110110011100000
320210220202000201112
42131102332303200
520401040430002
61113510522452
7122253055625
oct23522766340
96726660645
102638998752
111134711905
12617966428
13330978b30
141b06b434c
15106a35852
hex9d4bece0

2638998752 has 96 divisors (see below), whose sum is σ = 5911234560. Its totient is φ = 1151055360.

The previous prime is 2638998751. The next prime is 2638998779. The reversal of 2638998752 is 2578998362.

It is a junction number, because it is equal to n+sod(n) for n = 2638998691 and 2638998700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638998751) 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 15 ways as a sum of consecutive naturals, for example, 552149 + ... + 556907.

It is an arithmetic number, because the mean of its divisors is an integer number (61575360).

Almost surely, 22638998752 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 2638998752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955617280).

2638998752 is an abundant number, since it is smaller than the sum of its proper divisors (3272235808).

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

2638998752 is a wasteful number, since it uses less digits than its factorization.

2638998752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4848 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 59.

The square root of 2638998752 is about 51371.1860092796. The cubic root of 2638998752 is about 1381.9099004889.

The spelling of 2638998752 in words is "two billion, six hundred thirty-eight million, nine hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 43 52 62 86 104 124 172 208 248 344 403 416 496 559 688 806 992 1118 1333 1376 1612 2236 2666 3224 4472 4759 5332 6448 8944 9518 10664 12896 17329 17888 19036 21328 34658 38072 42656 61867 69316 76144 123734 138632 147529 152288 204637 247468 277264 295058 409274 494936 554528 590116 818548 989872 1180232 1637096 1917877 1979744 2360464 2660281 3274192 3835754 4720928 5320562 6343747 6548384 7671508 10641124 12687494 15343016 21282248 25374988 30686032 42564496 50749976 61372064 82468711 85128992 101499952 164937422 202999904 329874844 659749688 1319499376 2638998752