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40747146 = 23112961349
BaseRepresentation
bin1001101101110…
…0000010001010
32211200011120120
42123130002022
540412402041
64013204110
71003226226
oct233340212
984604516
1040747146
1121000a30
1211790636
13859894b
1455a9786
15389d366
hex26dc08a

40747146 has 64 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 11692800.

The previous prime is 40747141. The next prime is 40747159. The reversal of 40747146 is 64174704.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40747141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116580 + ... + 116928.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 240747146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40747146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

40747146 is an abundant number, since it is smaller than the sum of its proper divisors (52996854).

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

40747146 is a wasteful number, since it uses less digits than its factorization.

40747146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 40747146 is about 6383.3491209552. The cubic root of 40747146 is about 344.1114036605. Note that the first 3 decimals are identical.

The spelling of 40747146 in words is "forty million, seven hundred forty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 29 33 58 61 66 87 122 174 183 319 349 366 638 671 698 957 1047 1342 1769 1914 2013 2094 3538 3839 4026 5307 7678 10121 10614 11517 19459 20242 21289 23034 30363 38918 42578 58377 60726 63867 111331 116754 127734 222662 234179 333993 468358 617381 667986 702537 1234762 1405074 1852143 3704286 6791191 13582382 20373573 40747146