Base | Representation |
---|---|
bin | 1011000011111… |
… | …1100000000000 |
3 | 10020022020022201 |
4 | 2300333200000 |
5 | 43334204230 |
6 | 4334242544 |
7 | 1102241335 |
oct | 260774000 |
9 | 106266281 |
10 | 46397440 |
11 | 242100a1 |
12 | 13656454 |
13 | 97c670b |
14 | 623a98c |
15 | 41175ca |
hex | 2c3f800 |
46397440 has 96 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 17661952.
The previous prime is 46397431. The next prime is 46397453. The reversal of 46397440 is 4479364.
It is a super-3 number, since 3×463974403 (a number of 24 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 46397440.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235422 + ... + 235618.
It is an arithmetic number, because the mean of its divisors is an integer number (1216215).
Almost surely, 246397440 is an apocalyptic number.
46397440 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 46397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).
46397440 is an abundant number, since it is smaller than the sum of its proper divisors (70359200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46397440 is a wasteful number, since it uses less digits than its factorization.
46397440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 247 (or 227 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 37.
The square root of 46397440 is about 6811.5666333084. The cubic root of 46397440 is about 359.3337471488. Note that the first 3 decimals are identical.
It can be divided in two parts, 463 and 97440, that added together give a triangular number (97903 = T442).
The spelling of 46397440 in words is "forty-six million, three hundred ninety-seven thousand, four hundred forty".
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