Search a number
-
+
4392026688 = 26373788321
BaseRepresentation
bin1000001011100100…
…10000001001000000
3102100002101001222010
410011302100021000
532443324323223
62003452212520
7213560416350
oct40562201100
912302331863
104392026688
111954203725
12a26a6a140
1354cc00a7a
142d9440b60
151aa8b1393
hex105c90240

4392026688 has 112 divisors (see below), whose sum is σ = 13639743104. Its totient is φ = 1220935680.

The previous prime is 4392026671. The next prime is 4392026689. The reversal of 4392026688 is 8866202934.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4392026689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5568 + ... + 93888.

Almost surely, 24392026688 is an apocalyptic number.

4392026688 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 4392026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819871552).

4392026688 is an abundant number, since it is smaller than the sum of its proper divisors (9247716416).

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

4392026688 is a wasteful number, since it uses less digits than its factorization.

4392026688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88380 (or 88370 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4392026688 is about 66272.3674543169. The cubic root of 4392026688 is about 1637.6521390645.

The spelling of 4392026688 in words is "four billion, three hundred ninety-two million, twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 49728 88321 176642 264963 353284 529926 618247 706568 1059852 1236494 1413136 1854741 2119704 2472988 2826272 3267877 3709482 4239408 4945976 5652544 6535754 7418964 8478816 9803631 9891952 13071508 14837928 16957632 19607262 19783904 22875139 26143016 29675856 39214524 39567808 45750278 52286032 59351712 68625417 78429048 91500556 104572064 118703424 137250834 156858096 183001112 209144128 274501668 313716192 366002224 549003336 627432384 732004448 1098006672 1464008896 2196013344 4392026688