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40542012 = 22337247163
BaseRepresentation
bin1001101010100…
…1111100111100
32211021202012000
42122221330330
540334321022
64004542300
71001413200
oct232517474
984252160
1040542012
11209808a5
12116b1990
138526474
145554b00
15385c6ac
hex26a9f3c

40542012 has 144 divisors (see below), whose sum is σ = 125637120. Its totient is φ = 11267424.

The previous prime is 40542001. The next prime is 40542041. The reversal of 40542012 is 21024504.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248643 + ... + 248805.

It is an arithmetic number, because the mean of its divisors is an integer number (872480).

Almost surely, 240542012 is an apocalyptic number.

40542012 is a gapful number since it is divisible by the number (42) 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 40542012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62818560).

40542012 is an abundant number, since it is smaller than the sum of its proper divisors (85095108).

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

40542012 is a wasteful number, since it uses less digits than its factorization.

40542012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40542012 is about 6367.2609495764. The cubic root of 40542012 is about 343.5329767543.

Adding to 40542012 its reverse (21024504), we get a palindrome (61566516).

The spelling of 40542012 in words is "forty million, five hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 49 54 63 84 94 98 108 126 141 147 163 188 189 196 252 282 294 326 329 378 423 441 489 564 588 652 658 756 846 882 978 987 1141 1269 1316 1323 1467 1692 1764 1956 1974 2282 2303 2538 2646 2934 2961 3423 3948 4401 4564 4606 5076 5292 5868 5922 6846 6909 7661 7987 8802 8883 9212 10269 11844 13692 13818 15322 15974 17604 17766 20538 20727 22983 23961 27636 30644 30807 31948 35532 41076 41454 45966 47922 53627 61614 62181 68949 71883 82908 91932 95844 107254 123228 124362 137898 143766 160881 206847 214508 215649 248724 275796 287532 321762 375389 413694 431298 482643 643524 750778 827388 862596 965286 1126167 1447929 1501556 1930572 2252334 2895858 3378501 4504668 5791716 6757002 10135503 13514004 20271006 40542012