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5626580 = 2252989109
BaseRepresentation
bin10101011101101011010100
3101120212012212
4111131223110
52420022310
6320332552
765553011
oct25355324
911525185
105626580
1131a3373
121a74158
13122004b
14a66708
15762205
hex55dad4

5626580 has 48 divisors (see below), whose sum is σ = 12474000. Its totient is φ = 2128896.

The previous prime is 5626573. The next prime is 5626583. The reversal of 5626580 is 856265.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 85264 + 5541316 = 292^2 + 2354^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5626583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51566 + ... + 51674.

It is an arithmetic number, because the mean of its divisors is an integer number (259875).

Almost surely, 25626580 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 5626580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237000).

5626580 is an abundant number, since it is smaller than the sum of its proper divisors (6847420).

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

5626580 is a wasteful number, since it uses less digits than its factorization.

5626580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 5626580 is about 2372.0413149859. The cubic root of 5626580 is about 177.8613151958.

It can be divided in two parts, 5 and 626580, that multiplied together give a square (3132900 = 17702).

The spelling of 5626580 in words is "five million, six hundred twenty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 89 109 116 145 178 218 290 356 436 445 545 580 890 1090 1780 2180 2581 3161 5162 6322 9701 10324 12644 12905 15805 19402 25810 31610 38804 48505 51620 63220 97010 194020 281329 562658 1125316 1406645 2813290 5626580