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5634468 = 2233729257
BaseRepresentation
bin10101011111100110100100
3101121021001000
4111133212210
52420300333
6320433300
765615010
oct25374644
911537030
105634468
1131a9294
121a78830
131223808
14a69540
15764713
hex55f9a4

5634468 has 96 divisors (see below), whose sum is σ = 17337600. Its totient is φ = 1548288.

The previous prime is 5634449. The next prime is 5634479. The reversal of 5634468 is 8644365.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 21796 + ... + 22052.

It is an arithmetic number, because the mean of its divisors is an integer number (180600).

Almost surely, 25634468 is an apocalyptic number.

5634468 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5634468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668800).

5634468 is an abundant number, since it is smaller than the sum of its proper divisors (11703132).

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

5634468 is a wasteful number, since it uses less digits than its factorization.

5634468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5634468 is about 2373.7034355622. The cubic root of 5634468 is about 177.9443920055.

The spelling of 5634468 in words is "five million, six hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 257 261 348 378 406 514 522 609 756 771 783 812 1028 1044 1218 1542 1566 1799 1827 2313 2436 3084 3132 3598 3654 4626 5397 5481 6939 7196 7308 7453 9252 10794 10962 13878 14906 16191 21588 21924 22359 27756 29812 32382 44718 48573 52171 64764 67077 89436 97146 104342 134154 156513 194292 201231 208684 268308 313026 402462 469539 626052 804924 939078 1408617 1878156 2817234 5634468