Base | Representation |
---|---|
bin | 1001101111111… |
… | …1110110010000 |
3 | 2211221121210200 |
4 | 2123333312100 |
5 | 40432100330 |
6 | 4020255200 |
7 | 1004410011 |
oct | 233776620 |
9 | 84847720 |
10 | 40893840 |
11 | 210a1169 |
12 | 11841500 |
13 | 861a650 |
14 | 5607008 |
15 | 38cba60 |
hex | 26ffd90 |
40893840 has 240 divisors, whose sum is σ = 157208688. Its totient is φ = 9437184.
The previous prime is 40893829. The next prime is 40893841. The reversal of 40893840 is 4839804.
It can be written as a sum of positive squares in 8 ways, for example, as 1806336 + 39087504 = 1344^2 + 6252^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×408938402 = 3344612299891200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 40893795 and 40893804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40893841) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158992 + ... + 159248.
Almost surely, 240893840 is an apocalyptic number.
40893840 is a gapful number since it is divisible by the number (40) 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 40893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78604344).
40893840 is an abundant number, since it is smaller than the sum of its proper divisors (116314848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40893840 is a wasteful number, since it uses less digits than its factorization.
40893840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 306 (or 297 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 40893840 is about 6394.8291611270. The cubic root of 40893840 is about 344.5238548168.
The spelling of 40893840 in words is "forty million, eight hundred ninety-three thousand, eight hundred forty".
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