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5627616 = 25331261
BaseRepresentation
bin10101011101111011100000
3101120220122020
4111131323200
52420040431
6320341440
765556021
oct25357340
911526566
105627616
1131a4125
121a74880
131220667
14a66c48
15762696
hex55dee0

5627616 has 72 divisors (see below), whose sum is σ = 15514632. Its totient is φ = 1785600.

The previous prime is 5627603. The next prime is 5627621. The reversal of 5627616 is 6167265.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 92226 + ... + 92286.

It is an arithmetic number, because the mean of its divisors is an integer number (215481).

Almost surely, 25627616 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 5627616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757316).

5627616 is an abundant number, since it is smaller than the sum of its proper divisors (9887016).

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

5627616 is a wasteful number, since it uses less digits than its factorization.

5627616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 5627616 is about 2372.2596822439. The cubic root of 5627616 is about 177.8722308269.

It can be divided in two parts, 56 and 27616, that added together give a palindrome (27672).

The spelling of 5627616 in words is "five million, six hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 732 744 961 976 992 1464 1488 1891 1922 1952 2883 2928 2976 3782 3844 5673 5766 5856 7564 7688 11346 11532 15128 15376 22692 23064 30256 30752 45384 46128 58621 60512 90768 92256 117242 175863 181536 234484 351726 468968 703452 937936 1406904 1875872 2813808 5627616