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40006096 = 24131953191
BaseRepresentation
bin1001100010011…
…1000111010000
32210021112001021
42120213013100
540220143341
63545245224
7664021564
oct230470720
983245037
1040006096
1120645199
1211493814
138399560
1454556a4
1537a39d1
hex26271d0

40006096 has 80 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 17072640.

The previous prime is 40006093. The next prime is 40006097. The reversal of 40006096 is 69060004.

It is a super-2 number, since 2×400060962 = 3200975434322432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40006096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40006093) 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 15 ways as a sum of consecutive naturals, for example, 209361 + ... + 209551.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 240006096 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 40006096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

40006096 is an abundant number, since it is smaller than the sum of its proper divisors (49988144).

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

40006096 is a wasteful number, since it uses less digits than its factorization.

40006096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 40006096 is about 6325.0372330920. The cubic root of 40006096 is about 342.0125618085.

The spelling of 40006096 in words is "forty million, six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 53 76 104 106 152 191 208 212 247 304 382 424 494 689 764 848 988 1007 1378 1528 1976 2014 2483 2756 3056 3629 3952 4028 4966 5512 7258 8056 9932 10123 11024 13091 14516 16112 19864 20246 26182 29032 39728 40492 47177 52364 58064 80984 94354 104728 131599 161968 188708 192337 209456 263198 377416 384674 526396 754832 769348 1052792 1538696 2105584 2500381 3077392 5000762 10001524 20003048 40006096