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564057714 = 231122973367
BaseRepresentation
bin100001100111101…
…101011001110010
31110022101002201110
4201213231121302
52123344321324
6131545414150
716656261063
oct4147553162
91408332643
10564057714
1126a439a00
12138a9a356
138cb22c7c
1454cac56a
15347bd329
hex219ed672

564057714 has 96 divisors (see below), whose sum is σ = 1303868160. Its totient is φ = 162328320.

The previous prime is 564057643. The next prime is 564057719. The reversal of 564057714 is 417750465.

It is a super-2 number, since 2×5640577142 = 636322209445811592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564057719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536759 + ... + 1537125.

It is an arithmetic number, because the mean of its divisors is an integer number (13581960).

Almost surely, 2564057714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564057714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651934080).

564057714 is an abundant number, since it is smaller than the sum of its proper divisors (739810446).

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

564057714 is a wasteful number, since it uses less digits than its factorization.

564057714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 564057714 is about 23749.8992418915. The cubic root of 564057714 is about 826.2431037377.

The spelling of 564057714 in words is "five hundred sixty-four million, fifty-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 73 87 121 146 174 219 242 319 363 367 438 638 726 734 803 957 1101 1606 1914 2117 2202 2409 3509 4037 4234 4818 6351 7018 8074 8833 10527 10643 12111 12702 17666 21054 21286 23287 24222 26499 26791 31929 44407 46574 52998 53582 63858 69861 80373 88814 117073 133221 139722 160746 234146 256157 266442 294701 351219 512314 589402 702438 768471 776939 884103 1287803 1536942 1553878 1768206 2330817 2575606 3241711 3863409 4661634 6483422 7726818 8546329 9725133 17092658 19450266 25638987 51277974 94009619 188019238 282028857 564057714