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564716544 = 2103726261
BaseRepresentation
bin100001101010001…
…110010000000000
31110100121120110120
4201222032100000
52124031412134
6132011500240
716665003630
oct4152162000
91410546416
10564716544
1126a849997
12139157680
138ccc3b02
14550006c0
153489d649
hex21a8e400

564716544 has 88 divisors (see below), whose sum is σ = 1720266048. Its totient is φ = 161341440.

The previous prime is 564716543. The next prime is 564716567. The reversal of 564716544 is 445617465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 564716496 and 564716505.

It is not an unprimeable number, because it can be changed into a prime (564716543) 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, 8374 + ... + 34634.

Almost surely, 2564716544 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 564716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860133024).

564716544 is an abundant number, since it is smaller than the sum of its proper divisors (1155549504).

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

564716544 is a wasteful number, since it uses less digits than its factorization.

564716544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26291 (or 26273 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 564716544 is about 23763.7653582087. The cubic root of 564716544 is about 826.5646677252.

The spelling of 564716544 in words is "five hundred sixty-four million, seven hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 26261 52522 78783 105044 157566 183827 210088 315132 367654 420176 551481 630264 735308 840352 1102962 1260528 1470616 1680704 2205924 2521056 2941232 3361408 4411848 5042112 5882464 6722816 8823696 10084224 11764928 13445632 17647392 20168448 23529856 26891264 35294784 40336896 47059712 70589568 80673792 94119424 141179136 188238848 282358272 564716544