Search a number
-
+
32800255500 = 2235340135449
BaseRepresentation
bin11110100011000011…
…000010111000001100
310010122220110121202210
4132203003002320030
51014133331134000
623022423150420
72240551400025
oct364303027014
9103586417683
1032800255500
1112a01986481
1264348a5410
13312958170c
1418322d7c4c
15cbe8b4350
hex7a30c2e0c

32800255500 has 96 divisors (see below), whose sum is σ = 95555678400. Its totient is φ = 8742950400.

The previous prime is 32800255469. The next prime is 32800255513. The reversal of 32800255500 is 555200823.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6016776 + ... + 6022224.

It is an arithmetic number, because the mean of its divisors is an integer number (995371650).

Almost surely, 232800255500 is an apocalyptic number.

32800255500 is a gapful number since it is divisible by the number (30) 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 32800255500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47777839200).

32800255500 is an abundant number, since it is smaller than the sum of its proper divisors (62755422900).

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

32800255500 is a wasteful number, since it uses less digits than its factorization.

32800255500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 32800255500 in words is "thirty-two billion, eight hundred million, two hundred fifty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 4013 5449 8026 10898 12039 16052 16347 20065 21796 24078 27245 32694 40130 48156 54490 60195 65388 80260 81735 100325 108980 120390 136225 163470 200650 240780 272450 300975 326940 401300 408675 501625 544900 601950 681125 817350 1003250 1203900 1362250 1504875 1634700 2006500 2043375 2724500 3009750 4086750 6019500 8173500 21866837 43733674 65600511 87467348 109334185 131201022 218668370 262402044 328002555 437336740 546670925 656005110 1093341850 1312010220 1640012775 2186683700 2733354625 3280025550 5466709250 6560051100 8200063875 10933418500 16400127750 32800255500