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40054950 = 232521341167
BaseRepresentation
bin1001100011001…
…1000010100110
32210101000001200
42120303002212
540223224300
63550303330
7664314165
oct230630246
983330050
1040054950
1120678971
12114b7b46
1383b5870
1454693dc
1537b3200
hex26330a6

40054950 has 144 divisors (see below), whose sum is σ = 119429856. Its totient is φ = 9561600.

The previous prime is 40054933. The next prime is 40054961. The reversal of 40054950 is 5945004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239767 + ... + 239933.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 240054950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40054950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714928).

40054950 is an abundant number, since it is smaller than the sum of its proper divisors (79374906).

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

40054950 is a wasteful number, since it uses less digits than its factorization.

40054950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 40054950 is about 6328.8980083424. The cubic root of 40054950 is about 342.1517229750.

Adding to 40054950 its reverse (5945004), we get a palindrome (45999954).

The spelling of 40054950 in words is "forty million, fifty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 41 45 50 65 75 78 82 90 117 123 130 150 167 195 205 225 234 246 325 334 369 390 410 450 501 533 585 615 650 738 835 975 1002 1025 1066 1170 1230 1503 1599 1670 1845 1950 2050 2171 2505 2665 2925 3006 3075 3198 3690 4175 4342 4797 5010 5330 5850 6150 6513 6847 7515 7995 8350 9225 9594 10855 12525 13026 13325 13694 15030 15990 18450 19539 20541 21710 23985 25050 26650 32565 34235 37575 39078 39975 41082 47970 54275 61623 65130 68470 75150 79950 89011 97695 102705 108550 119925 123246 162825 171175 178022 195390 205410 239850 267033 308115 325650 342350 445055 488475 513525 534066 616230 801099 890110 976950 1027050 1335165 1540575 1602198 2225275 2670330 3081150 4005495 4450550 6675825 8010990 13351650 20027475 40054950