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20638488 = 23313292281
BaseRepresentation
bin100111010111…
…0101100011000
31102211112200110
41032232230120
520240412423
62014204320
7340265343
oct116565430
942745613
1020638488
1110717002
126ab36a0
134377c30
142a5345a
151c2a193
hex13aeb18

20638488 has 64 divisors (see below), whose sum is σ = 57506400. Its totient is φ = 6128640.

The previous prime is 20638483. The next prime is 20638507. The reversal of 20638488 is 88483602.

It is a super-2 number, since 2×206384882 = 851894373852288, which contains 22 as substring.

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 (20638483) 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, 7908 + ... + 10188.

Almost surely, 220638488 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 20638488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753200).

20638488 is an abundant number, since it is smaller than the sum of its proper divisors (36867912).

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

20638488 is a wasteful number, since it uses less digits than its factorization.

20638488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 20638488 is about 4542.9602683713. The cubic root of 20638488 is about 274.3000956621.

The spelling of 20638488 in words is "twenty million, six hundred thirty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 2281 3016 4524 4562 6843 9048 9124 13686 18248 27372 29653 54744 59306 66149 88959 118612 132298 177918 198447 237224 264596 355836 396894 529192 711672 793788 859937 1587576 1719874 2579811 3439748 5159622 6879496 10319244 20638488