Base | Representation |
---|---|
bin | 1001101110001… |
… | …0110100100000 |
3 | 2211201120201010 |
4 | 2123202310200 |
5 | 40414244234 |
6 | 4013540520 |
7 | 1003403250 |
oct | 233426440 |
9 | 84646633 |
10 | 40774944 |
11 | 2101a901 |
12 | 117a4740 |
13 | 85a84b2 |
14 | 55b5960 |
15 | 38a66e9 |
hex | 26e2d20 |
40774944 has 96 divisors (see below), whose sum is σ = 125024256. Its totient is φ = 11393280.
The previous prime is 40774933. The next prime is 40774949. The reversal of 40774944 is 44947704.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (40774949) 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, 30939 + ... + 32229.
It is an arithmetic number, because the mean of its divisors is an integer number (1302336).
Almost surely, 240774944 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 40774944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512128).
40774944 is an abundant number, since it is smaller than the sum of its proper divisors (84249312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40774944 is a wasteful number, since it uses less digits than its factorization.
40774944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).
The product of its (nonzero) digits is 112896, while the sum is 39.
The square root of 40774944 is about 6385.5261333738. The cubic root of 40774944 is about 344.1896376418.
The spelling of 40774944 in words is "forty million, seven hundred seventy-four thousand, nine hundred forty-four".
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