Search a number
-
+
4688897920 = 27579371117
BaseRepresentation
bin1000101110111101…
…01110011110000000
3110002202222200201221
410113132232132000
534100324213140
62053135204424
7224123655220
oct42736563600
913082880657
104688897920
111a96840453
12aaa376714
13599574715
14326a3c080
151c69a314a
hex1177ae780

4688897920 has 128 divisors (see below), whose sum is σ = 12835892160. Its totient is φ = 1604468736.

The previous prime is 4688897909. The next prime is 4688897929. The reversal of 4688897920 is 297988864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688897929) 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, 4197202 + ... + 4198318.

Almost surely, 24688897920 is an apocalyptic number.

4688897920 is a gapful number since it is divisible by the number (40) 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 4688897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417946080).

4688897920 is an abundant number, since it is smaller than the sum of its proper divisors (8146994240).

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

4688897920 is a wasteful number, since it uses less digits than its factorization.

4688897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 61.

The square root of 4688897920 is about 68475.5278913569. The cubic root of 4688897920 is about 1673.7487255517.

The spelling of 4688897920 in words is "four billion, six hundred eighty-eight million, eight hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 937 1117 1120 1874 2234 2240 3748 4468 4480 4685 5585 6559 7496 7819 8936 9370 11170 13118 14992 15638 17872 18740 22340 26236 29984 31276 32795 35744 37480 39095 44680 52472 59968 62552 65590 71488 74960 78190 89360 104944 119936 125104 131180 142976 149920 156380 178720 209888 250208 262360 299840 312760 357440 419776 500416 524720 599680 625520 714880 839552 1000832 1046629 1049440 1251040 2093258 2098880 2502080 4186516 4197760 5004160 5233145 7326403 8373032 10466290 14652806 16746064 20932580 29305612 33492128 36632015 41865160 58611224 66984256 73264030 83730320 117222448 133968512 146528060 167460640 234444896 293056120 334921280 468889792 586112240 669842560 937779584 1172224480 2344448960 4688897920