Search a number
-
+
7680044288 = 2875380863
BaseRepresentation
bin1110010011100010…
…00010110100000000
3201211020100200011202
413021301002310000
5111212042404123
63310030000332
7361214204450
oct71161026400
921736320152
107680044288
113291203a44
1215a40460a8
13955179107
1452bdbbd60
152ee398a28
hex1c9c42d00

7680044288 has 72 divisors (see below), whose sum is σ = 17850889728. Its totient is φ = 3229304832.

The previous prime is 7680044269. The next prime is 7680044299. The reversal of 7680044288 is 8824400867.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54545 + ... + 135407.

It is an arithmetic number, because the mean of its divisors is an integer number (247929024).

Almost surely, 27680044288 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 7680044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925444864).

7680044288 is an abundant number, since it is smaller than the sum of its proper divisors (10170845440).

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

7680044288 is an equidigital number, since it uses as much as digits as its factorization.

7680044288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80939 (or 80925 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The square root of 7680044288 is about 87635.8618831355. The cubic root of 7680044288 is about 1972.9734519432.

The spelling of 7680044288 in words is "seven billion, six hundred eighty million, forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 742 848 896 1484 1696 1792 2968 3392 5936 6784 11872 13568 23744 47488 80863 94976 161726 323452 566041 646904 1132082 1293808 2264164 2587616 4285739 4528328 5175232 8571478 9056656 10350464 17142956 18113312 20700928 30000173 34285912 36226624 60000346 68571824 72453248 120000692 137143648 144906496 240001384 274287296 480002768 548574592 960005536 1097149184 1920011072 3840022144 7680044288