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7989601392 = 2432613372699
BaseRepresentation
bin1110111000011011…
…11010010001110000
3202121210211210200200
413130031322101300
5112330314221032
63400444515200
7401663330343
oct73415722160
922553753620
107989601392
11342aa15863
12166b84bb00
139a4341cb6
1455b15c45a
1531b64447c
hex1dc37a470

7989601392 has 120 divisors (see below), whose sum is σ = 22802223600. Its totient is φ = 2610800640.

The previous prime is 7989601339. The next prime is 7989601421. The reversal of 7989601392 is 2931069897.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2958859 + ... + 2961557.

It is an arithmetic number, because the mean of its divisors is an integer number (190018530).

Almost surely, 27989601392 is an apocalyptic number.

7989601392 is a gapful number since it is divisible by the number (72) 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 7989601392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11401111800).

7989601392 is an abundant number, since it is smaller than the sum of its proper divisors (14812622208).

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

7989601392 is a wasteful number, since it uses less digits than its factorization.

7989601392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 7989601392 is about 89384.5702120897. The cubic root of 7989601392 is about 1999.1330736069.

The spelling of 7989601392 in words is "seven billion, nine hundred eighty-nine million, six hundred one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 337 366 488 549 674 732 976 1011 1098 1348 1464 2022 2196 2696 2699 2928 3033 4044 4392 5392 5398 6066 8088 8097 8784 10796 12132 16176 16194 20557 21592 24264 24291 32388 41114 43184 48528 48582 61671 64776 82228 97164 123342 129552 164456 164639 185013 194328 246684 328912 329278 370026 388656 493368 493917 658556 740052 909563 986736 987834 1317112 1480104 1481751 1819126 1975668 2634224 2728689 2960208 2963502 3638252 3951336 5457378 5927004 7276504 7902672 8186067 10914756 11854008 14553008 16372134 21829512 23708016 32744268 43659024 55483343 65488536 110966686 130977072 166450029 221933372 332900058 443866744 499350087 665800116 887733488 998700174 1331600232 1997400348 2663200464 3994800696 7989601392