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561753728 = 2731672113
BaseRepresentation
bin100001011110111…
…010111010000000
31110011001001020122
4201132322322000
52122302104403
6131424155412
716630553654
oct4136727200
91404031218
10561753728
11269105988
12138168b68
138c4c7373
145486ca64
15344b5838
hex217bae80

561753728 has 64 divisors (see below), whose sum is σ = 1173016320. Its totient is φ = 267632640.

The previous prime is 561753727. The next prime is 561753739. The reversal of 561753728 is 827357165.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (561753727) 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, 264800 + ... + 266912.

It is an arithmetic number, because the mean of its divisors is an integer number (18328380).

Almost surely, 2561753728 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 561753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586508160).

561753728 is an abundant number, since it is smaller than the sum of its proper divisors (611262592).

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

561753728 is a wasteful number, since it uses less digits than its factorization.

561753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2213 counting only the distinct ones).

The product of its digits is 352800, while the sum is 44.

The square root of 561753728 is about 23701.3444344408. The cubic root of 561753728 is about 825.1165935002.

The spelling of 561753728 in words is "five hundred sixty-one million, seven hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 248 268 496 536 992 1072 1984 2077 2113 2144 3968 4154 4226 4288 8308 8452 8576 16616 16904 33232 33808 65503 66464 67616 131006 132928 135232 141571 262012 265856 270464 283142 524024 566284 1048048 1132568 2096096 2265136 4192192 4388701 4530272 8384384 8777402 9060544 17554804 18121088 35109608 70219216 140438432 280876864 561753728