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40119976 = 231341972
BaseRepresentation
bin1001100100001…
…0111010101000
32210111022021001
42121002322220
540232314401
63551524344
7665004601
oct231027250
983438231
1040119976
1120712806
12115296b4
138409340
145484da8
1537c7601
hex2642ea8

40119976 has 48 divisors (see below), whose sum is σ = 83851740. Its totient is φ = 17879040.

The previous prime is 40119973. The next prime is 40119977. The reversal of 40119976 is 67991104.

It can be written as a sum of positive squares in 6 ways, for example, as 2592100 + 37527876 = 1610^2 + 6126^2 .

It is a super-2 number, since 2×401199762 = 3219224948481152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40119973) 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 11 ways as a sum of consecutive naturals, for example, 413560 + ... + 413656.

Almost surely, 240119976 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 40119976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41925870).

40119976 is an abundant number, since it is smaller than the sum of its proper divisors (43731764).

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

40119976 is a wasteful number, since it uses less digits than its factorization.

40119976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 40119976 is about 6334.0331543180. The cubic root of 40119976 is about 342.3367748357.

The spelling of 40119976 in words is "forty million, one hundred nineteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 26 41 52 82 97 104 164 194 328 388 533 776 1066 1261 2132 2522 3977 4264 5044 7954 9409 10088 15908 18818 31816 37636 51701 75272 103402 122317 206804 244634 385769 413608 489268 771538 978536 1543076 3086152 5014997 10029994 20059988 40119976