Base | Representation |
---|---|
bin | 1001101111110… |
… | …0010110000000 |
3 | 2211220220010010 |
4 | 2123330112000 |
5 | 40431120423 |
6 | 4020104520 |
7 | 1004320116 |
oct | 233742600 |
9 | 84826103 |
10 | 40879488 |
11 | 21091401 |
12 | 11835140 |
13 | 8613c60 |
14 | 5601ab6 |
15 | 38c7693 |
hex | 26fc580 |
40879488 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 11888640.
The previous prime is 40879481. The next prime is 40879499. The reversal of 40879488 is 88497804.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×408794882 = 3342265078284288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40879481) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94633 + ... + 95063.
It is an arithmetic number, because the mean of its divisors is an integer number (963900).
Almost surely, 240879488 is an apocalyptic number.
40879488 is a gapful number since it is divisible by the number (48) 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 40879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).
40879488 is an abundant number, since it is smaller than the sum of its proper divisors (82499712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40879488 is a wasteful number, since it uses less digits than its factorization.
With its predecessor (40879487) it forms an eRAP, since the sums of their prime factors are consecutive (479 and 480).
With its predecessor (40879487) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (468).
40879488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 480 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 516096, while the sum is 48.
The square root of 40879488 is about 6393.7069060131. The cubic root of 40879488 is about 344.4835456902.
The spelling of 40879488 in words is "forty million, eight hundred seventy-nine thousand, four hundred eighty-eight".
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