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2032704768 = 28314331847
BaseRepresentation
bin111100100101000…
…1001110100000000
312020122220002201210
41321022021310000
513130333023033
6533411530120
7101241463653
oct17112116400
95218802653
102032704768
119534551a6
124888b9940
132651884b3
14153d6d89a
15bd6c2d63
hex79289d00

2032704768 has 72 divisors (see below), whose sum is σ = 5416665408. Its totient is φ = 676728832.

The previous prime is 2032704673. The next prime is 2032704809. The reversal of 2032704768 is 8674072302.

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, 1099621 + ... + 1101467.

It is an arithmetic number, because the mean of its divisors is an integer number (75231464).

Almost surely, 22032704768 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 2032704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708332704).

2032704768 is an abundant number, since it is smaller than the sum of its proper divisors (3383960640).

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

2032704768 is a wasteful number, since it uses less digits than its factorization.

2032704768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2032704768 is about 45085.5272565377. The cubic root of 2032704768 is about 1266.7515235241.

The spelling of 2032704768 in words is "two billion, thirty-two million, seven hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1433 1847 2866 3694 4299 5541 5732 7388 8598 11082 11464 14776 17196 22164 22928 29552 34392 44328 45856 59104 68784 88656 91712 118208 137568 177312 183424 236416 275136 354624 366848 472832 550272 709248 1100544 1418496 2646751 5293502 7940253 10587004 15880506 21174008 31761012 42348016 63522024 84696032 127044048 169392064 254088096 338784128 508176192 677568256 1016352384 2032704768