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682048400 = 245211379409
BaseRepresentation
bin101000101001110…
…011101110010000
31202112101122111212
4220221303232100
52344101022100
6151402355252
722621213205
oct5051635620
91675348455
10682048400
1131aaa9070
121704bbb28
13ab3c5447
1466823cac
153ed28635
hex28a73b90

682048400 has 120 divisors (see below), whose sum is σ = 1796685600. Its totient is φ = 246758400.

The previous prime is 682048379. The next prime is 682048403. The reversal of 682048400 is 4840286.

It is not an unprimeable number, because it can be changed into a prime (682048403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1667396 + ... + 1667804.

It is an arithmetic number, because the mean of its divisors is an integer number (14972380).

Almost surely, 2682048400 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 682048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898342800).

682048400 is an abundant number, since it is smaller than the sum of its proper divisors (1114637200).

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

682048400 is a wasteful number, since it uses less digits than its factorization.

682048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 682048400 is about 26116.0563638540. The cubic root of 682048400 is about 880.2480361428.

Adding to 682048400 its reverse (4840286), we get a palindrome (686888686).

The spelling of 682048400 in words is "six hundred eighty-two million, forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 379 400 409 440 550 758 818 880 1100 1516 1636 1895 2045 2200 3032 3272 3790 4090 4169 4400 4499 6064 6544 7580 8180 8338 8998 9475 10225 15160 16360 16676 17996 18950 20450 20845 22495 30320 32720 33352 35992 37900 40900 41690 44990 66704 71984 75800 81800 83380 89980 104225 112475 151600 155011 163600 166760 179960 208450 224950 310022 333520 359920 416900 449900 620044 775055 833800 899800 1240088 1550110 1667600 1705121 1799600 2480176 3100220 3410242 3875275 6200440 6820484 7750550 8525605 12400880 13640968 15501100 17051210 27281936 31002200 34102420 42628025 62004400 68204840 85256050 136409680 170512100 341024200 682048400