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20481552 = 2433713521
BaseRepresentation
bin100111000100…
…0011000010000
31102112120102000
41032020120100
520220402202
62010554000
7336042660
oct116103020
942476360
1020481552
111061a103
126a38900
134321680
142a121a0
151be891c
hex1388610

20481552 has 160 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 5391360.

The previous prime is 20481541. The next prime is 20481553. The reversal of 20481552 is 25518402.

It is a happy number.

20481552 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20481553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39052 + ... + 39572.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 220481552 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 20481552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

20481552 is an abundant number, since it is smaller than the sum of its proper divisors (52013808).

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

20481552 is a wasteful number, since it uses less digits than its factorization.

20481552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 20481552 is about 4525.6548697398. The cubic root of 20481552 is about 273.6030624465.

Adding to 20481552 its reverse (25518402), we get a palindrome (45999954).

It can be divided in two parts, 2048 and 1552, that added together give a square (3600 = 602).

The spelling of 20481552 in words is "twenty million, four hundred eighty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 521 546 624 702 728 756 819 936 1008 1042 1092 1404 1456 1512 1563 1638 1872 2084 2184 2457 2808 3024 3126 3276 3647 4168 4368 4689 4914 5616 6252 6552 6773 7294 8336 9378 9828 10941 12504 13104 13546 14067 14588 18756 19656 20319 21882 25008 27092 28134 29176 32823 37512 39312 40638 43764 47411 54184 56268 58352 60957 65646 75024 81276 87528 94822 98469 108368 112536 121914 131292 142233 162552 175056 182871 189644 196938 225072 243828 262584 284466 325104 365742 379288 393876 426699 487656 525168 568932 731484 758576 787752 853398 975312 1137864 1280097 1462968 1575504 1706796 2275728 2560194 2925936 3413592 5120388 6827184 10240776 20481552