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2032941568 = 2971932939
BaseRepresentation
bin111100100101100…
…0011101000000000
312020200100010120011
41321023003220000
513130413112233
6533420554304
7101243501230
oct17113035000
95220303504
102032941568
119535a70a9
124889b2994
1326523c208
14153dd1cc0
15bd71d0cd
hex792c3a00

2032941568 has 80 divisors (see below), whose sum is σ = 4667826240. Its totient is φ = 866451456.

The previous prime is 2032941563. The next prime is 2032941569. The reversal of 2032941568 is 8651492302.

It is a self number, because there is not a number n which added to its sum of digits gives 2032941568.

It is not an unprimeable number, because it can be changed into a prime (2032941563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690243 + ... + 693181.

It is an arithmetic number, because the mean of its divisors is an integer number (58347828).

Almost surely, 22032941568 is an apocalyptic number.

2032941568 is a gapful number since it is divisible by the number (28) 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 2032941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333913120).

2032941568 is an abundant number, since it is smaller than the sum of its proper divisors (2634884672).

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

2032941568 is an equidigital number, since it uses as much as digits as its factorization.

2032941568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2032941568 is about 45088.1532999523. The cubic root of 2032941568 is about 1266.8007116991.

The spelling of 2032941568 in words is "two billion, thirty-two million, nine hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 193 224 256 386 448 512 772 896 1351 1544 1792 2702 2939 3088 3584 5404 5878 6176 10808 11756 12352 20573 21616 23512 24704 41146 43232 47024 49408 82292 86464 94048 98816 164584 172928 188096 329168 345856 376192 567227 658336 691712 752384 1134454 1316672 1504768 2268908 2633344 3970589 4537816 5266688 7941178 9075632 10533376 15882356 18151264 31764712 36302528 63529424 72605056 127058848 145210112 254117696 290420224 508235392 1016470784 2032941568