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4250738688 = 2133724709
BaseRepresentation
bin1111110101011101…
…0010000000000000
3101222020111220021020
43331113102000000
532201142114223
61541444025440
7210223453110
oct37527220000
911866456236
104250738688
111891481989
129a7692280
135298623c1
142c4783040
1519d2a31e3
hexfd5d2000

4250738688 has 112 divisors (see below), whose sum is σ = 12954365760. Its totient is φ = 1214447616.

The previous prime is 4250738669. The next prime is 4250738707. The reversal of 4250738688 is 8868370524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4250738669) and next prime (4250738707).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×42507386882 = 36137558787319922688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4250738688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159678 + ... + 184386.

It is an arithmetic number, because the mean of its divisors is an integer number (115663980).

Almost surely, 24250738688 is an apocalyptic number.

4250738688 is a gapful number since it is divisible by the number (48) 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 4250738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477182880).

4250738688 is an abundant number, since it is smaller than the sum of its proper divisors (8703627072).

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

4250738688 is an equidigital number, since it uses as much as digits as its factorization.

4250738688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24745 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 4250738688 is about 65197.6892842070. The cubic root of 4250738688 is about 1619.8997407850.

The spelling of 4250738688 in words is "four billion, two hundred fifty million, seven hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 21504 24576 24709 28672 43008 49418 57344 74127 86016 98836 148254 172032 172963 197672 296508 345926 395344 518889 593016 691852 790688 1037778 1186032 1383704 1581376 2075556 2372064 2767408 3162752 4151112 4744128 5534816 6325504 8302224 9488256 11069632 12651008 16604448 18976512 22139264 25302016 33208896 37953024 44278528 50604032 66417792 75906048 88557056 101208064 132835584 151812096 177114112 202416128 265671168 303624192 354228224 531342336 607248384 708456448 1062684672 1416912896 2125369344 4250738688