Base | Representation |
---|---|
bin | 1001101110001… |
… | …0001011100010 |
3 | 2211201110010000 |
4 | 2123202023202 |
5 | 40414203242 |
6 | 4013520430 |
7 | 1003362513 |
oct | 233421342 |
9 | 84643100 |
10 | 40772322 |
11 | 21018938 |
12 | 117a3116 |
13 | 85a7246 |
14 | 55b4a0a |
15 | 38a5a4c |
hex | 26e22e2 |
40772322 has 40 divisors (see below), whose sum is σ = 92238300. Its totient is φ = 13460256.
The previous prime is 40772311. The next prime is 40772323. The reversal of 40772322 is 22327704.
It can be written as a sum of positive squares in 2 ways, for example, as 37564641 + 3207681 = 6129^2 + 1791^2 .
It is a super-3 number, since 3×407723223 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (40772323) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16504 + ... + 18812.
Almost surely, 240772322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40772322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46119150).
40772322 is an abundant number, since it is smaller than the sum of its proper divisors (51465978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40772322 is a wasteful number, since it uses less digits than its factorization.
40772322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2432 (or 2423 counting only the distinct ones).
The product of its (nonzero) digits is 4704, while the sum is 27.
The square root of 40772322 is about 6385.3208220104. The cubic root of 40772322 is about 344.1822598710.
The spelling of 40772322 in words is "forty million, seven hundred seventy-two thousand, three hundred twenty-two".
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