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561647424 = 26313435233
BaseRepresentation
bin100001011110100…
…000111101000000
31110010211122102110
4201132200331000
52122240204144
6131422015320
716626632022
oct4136407500
91403748373
10561647424
11269043028
12138117540
138c48ab70
1454842012
15344940b9
hex217a0f40

561647424 has 112 divisors (see below), whose sum is σ = 1637865152. Its totient is φ = 168763392.

The previous prime is 561647423. The next prime is 561647447. The reversal of 561647424 is 424746165.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561647423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104712 + ... + 109944.

It is an arithmetic number, because the mean of its divisors is an integer number (14623796).

Almost surely, 2561647424 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 561647424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818932576).

561647424 is an abundant number, since it is smaller than the sum of its proper divisors (1076217728).

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

561647424 is a wasteful number, since it uses less digits than its factorization.

561647424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5294 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 561647424 is about 23699.1017551299. The cubic root of 561647424 is about 825.0645429761.

The spelling of 561647424 in words is "five hundred sixty-one million, six hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 129 156 172 192 208 258 312 344 416 516 559 624 688 832 1032 1118 1248 1376 1677 2064 2236 2496 2752 3354 4128 4472 5233 6708 8256 8944 10466 13416 15699 17888 20932 26832 31398 35776 41864 53664 62796 68029 83728 107328 125592 136058 167456 204087 225019 251184 272116 334912 408174 450038 502368 544232 675057 816348 900076 1004736 1088464 1350114 1632696 1800152 2176928 2700228 2925247 3265392 3600304 4353856 5400456 5850494 6530784 7200608 8775741 10800912 11700988 13061568 14401216 17551482 21601824 23401976 35102964 43203648 46803952 70205928 93607904 140411856 187215808 280823712 561647424