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5626640 = 245611153
BaseRepresentation
bin10101011101101100010000
3101120212022002
4111131230100
52420023030
6320333132
765553125
oct25355420
911525262
105626640
1131a3418
121a741a8
131220096
14a6674c
15762245
hex55db10

5626640 has 40 divisors (see below), whose sum is σ = 13307928. Its totient is φ = 2211840.

The previous prime is 5626637. The next prime is 5626657. The reversal of 5626640 is 466265.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 5456896 = 412^2 + 2336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4304 + ... + 5456.

Almost surely, 25626640 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 5626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653964).

5626640 is an abundant number, since it is smaller than the sum of its proper divisors (7681288).

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

5626640 is a wasteful number, since it uses less digits than its factorization.

5626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5626640 is about 2372.0539622867. The cubic root of 5626640 is about 177.8619474118.

The spelling of 5626640 in words is "five million, six hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1153 1220 2306 2440 4612 4880 5765 9224 11530 18448 23060 46120 70333 92240 140666 281332 351665 562664 703330 1125328 1406660 2813320 5626640