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532880768 = 2774313831
BaseRepresentation
bin11111110000110…
…001110110000000
31101010201010222202
4133300301312000
52042404141033
6124513252332
716130261150
oct3760616600
91333633882
10532880768
11253885232
1212a5640a8
1386528384
1450ab4760
1531bb08e8
hex1fc31d80

532880768 has 64 divisors (see below), whose sum is σ = 1241560320. Its totient is φ = 223050240.

The previous prime is 532880749. The next prime is 532880791. The reversal of 532880768 is 867088235.

It is a tau number, because it is divible by the number of its divisors (64).

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, 31613 + ... + 45443.

It is an arithmetic number, because the mean of its divisors is an integer number (19399380).

Almost surely, 2532880768 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 532880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620780160).

532880768 is an abundant number, since it is smaller than the sum of its proper divisors (708679552).

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

532880768 is a wasteful number, since it uses less digits than its factorization.

532880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13895 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 532880768 is about 23084.2103611971. The cubic root of 532880768 is about 810.7308183497.

The spelling of 532880768 in words is "five hundred thirty-two million, eight hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4816 5504 9632 13831 19264 27662 38528 55324 96817 110648 193634 221296 387268 442592 594733 774536 885184 1189466 1549072 1770368 2378932 3098144 4163131 4757864 6196288 8326262 9515728 12392576 16652524 19031456 33305048 38062912 66610096 76125824 133220192 266440384 532880768