Base | Representation |
---|---|
bin | 10111110111011… |
… | …110010011111110 |
3 | 1000220110100022000 |
4 | 113313132103332 |
5 | 1310001334141 |
6 | 103422203130 |
7 | 12631332360 |
oct | 2767362376 |
9 | 1026410260 |
10 | 400418046 |
11 | 196031006 |
12 | b21234a6 |
13 | 64c59972 |
14 | 3b272d30 |
15 | 252475b6 |
hex | 17dde4fe |
400418046 has 128 divisors (see below), whose sum is σ = 1081344000. Its totient is φ = 107285472.
The previous prime is 400418023. The next prime is 400418047. The reversal of 400418046 is 640814004.
It is a super-2 number, since 2×4004180462 = 320669223124916232, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (400418047) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911895 + ... + 912333.
It is an arithmetic number, because the mean of its divisors is an integer number (8448000).
Almost surely, 2400418046 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 400418046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540672000).
400418046 is an abundant number, since it is smaller than the sum of its proper divisors (680925954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
400418046 is a wasteful number, since it uses less digits than its factorization.
400418046 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 603 (or 597 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 400418046 is about 20010.4484207626. The cubic root of 400418046 is about 737.0628927977.
The spelling of 400418046 in words is "four hundred million, four hundred eighteen thousand, forty-six".
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