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564973940 = 225294612113
BaseRepresentation
bin100001101011001…
…101000101110100
31110101002122112202
4201223031011310
52124113131230
6132021204032
720000125226
oct4153150564
91411078482
10564973940
1126aa05313
12139260618
139008400b
145506a416
15348eea45
hex21acd174

564973940 has 48 divisors (see below), whose sum is σ = 1230601680. Its totient is φ = 217620480.

The previous prime is 564973933. The next prime is 564973961. The reversal of 564973940 is 49379465.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 143328784 + 421645156 = 11972^2 + 20534^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266324 + ... + 268436.

It is an arithmetic number, because the mean of its divisors is an integer number (25637535).

Almost surely, 2564973940 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 564973940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615300840).

564973940 is an abundant number, since it is smaller than the sum of its proper divisors (665627740).

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

564973940 is a wasteful number, since it uses less digits than its factorization.

564973940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 564973940 is about 23769.1804654683. The cubic root of 564973940 is about 826.6902304967.

The spelling of 564973940 in words is "five hundred sixty-four million, nine hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 461 580 922 1844 2113 2305 4226 4610 8452 9220 10565 13369 21130 26738 42260 53476 61277 66845 122554 133690 245108 267380 306385 612770 974093 1225540 1948186 3896372 4870465 9740930 19481860 28248697 56497394 112994788 141243485 282486970 564973940