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2097079552 = 28192914867
BaseRepresentation
bin111110011111110…
…1110010100000000
312102011000200100001
41330333232110000
513243323021202
6544031405344
7102652611361
oct17477562400
95364020301
102097079552
119868239a7
124a6383854
13275607799
1415c729b68
15c418bd87
hex7cfee500

2097079552 has 72 divisors (see below), whose sum is σ = 4558528800. Its totient is φ = 959035392.

The previous prime is 2097079547. The next prime is 2097079553. The reversal of 2097079552 is 2559707902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097079553) 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 7 ways as a sum of consecutive naturals, for example, 133623 + ... + 148489.

It is an arithmetic number, because the mean of its divisors is an integer number (63312900).

Almost surely, 22097079552 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 2097079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279264400).

2097079552 is an abundant number, since it is smaller than the sum of its proper divisors (2461449248).

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

2097079552 is a wasteful number, since it uses less digits than its factorization.

2097079552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14931 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 2097079552 is about 45793.8811633170. The cubic root of 2097079552 is about 1279.9852602469.

The spelling of 2097079552 in words is "two billion, ninety-seven million, seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 464 551 608 928 1102 1216 1856 2204 2432 3712 4408 4864 7424 8816 14867 17632 29734 35264 59468 70528 118936 141056 237872 282473 431143 475744 564946 862286 951488 1129892 1724572 1902976 2259784 3449144 3805952 4519568 6898288 8191717 9039136 13796576 16383434 18078272 27593152 32766868 36156544 55186304 65533736 72313088 110372608 131067472 262134944 524269888 1048539776 2097079552