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40828500 = 22325343211
BaseRepresentation
bin1001101110111…
…1111001010100
32211211022011200
42123233321110
540423003000
64015032500
71004015346
oct233577124
984738150
1040828500
1121057069
121180b730
1385c699b
1455cb296
1538b7500
hex26efe54

40828500 has 144 divisors (see below), whose sum is σ = 132420288. Its totient is φ = 10584000.

The previous prime is 40828499. The next prime is 40828507. The reversal of 40828500 is 582804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40828507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193395 + ... + 193605.

Almost surely, 240828500 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 40828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66210144).

40828500 is an abundant number, since it is smaller than the sum of its proper divisors (91591788).

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

40828500 is a wasteful number, since it uses less digits than its factorization.

40828500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 40828500 is about 6389.7183036500. The cubic root of 40828500 is about 344.3402640955.

It can be divided in two parts, 40828 and 500, that added together give a triangular number (41328 = T287).

The spelling of 40828500 in words is "forty million, eight hundred twenty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 125 129 150 172 180 211 215 225 250 258 300 375 387 422 430 450 500 516 633 645 750 774 844 860 900 1055 1075 1125 1266 1290 1500 1548 1899 1935 2110 2150 2250 2532 2580 3165 3225 3798 3870 4220 4300 4500 5275 5375 6330 6450 7596 7740 9073 9495 9675 10550 10750 12660 12900 15825 16125 18146 18990 19350 21100 21500 26375 27219 31650 32250 36292 37980 38700 45365 47475 48375 52750 54438 63300 64500 79125 81657 90730 94950 96750 105500 108876 136095 158250 163314 181460 189900 193500 226825 237375 272190 316500 326628 408285 453650 474750 544380 680475 816570 907300 949500 1134125 1360950 1633140 2041425 2268250 2721900 3402375 4082850 4536500 6804750 8165700 10207125 13609500 20414250 40828500