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406033012 = 227211832269
BaseRepresentation
bin11000001100111…
…001001001110100
31001022000121120201
4120030321021310
51312421024022
6104142410244
713030136500
oct3014711164
91038017521
10406033012
11199216680
12b3b90984
1366174628
143bcd5300
15259a6127
hex18339274

406033012 has 72 divisors (see below), whose sum is σ = 912975840. Its totient is φ = 156219840.

The previous prime is 406032989. The next prime is 406033013. The reversal of 406033012 is 210330604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406033013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177814 + ... + 180082.

It is an arithmetic number, because the mean of its divisors is an integer number (12680220).

Almost surely, 2406033012 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 406033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456487920).

406033012 is an abundant number, since it is smaller than the sum of its proper divisors (506942828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406033012 is a wasteful number, since it uses less digits than its factorization.

406033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 406033012 is about 20150.2608419842. The cubic root of 406033012 is about 740.4921318546.

Adding to 406033012 its reverse (210330604), we get a palindrome (616363616).

The spelling of 406033012 in words is "four hundred six million, thirty-three thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 83 98 154 166 196 308 332 539 581 913 1078 1162 1826 2156 2269 2324 3652 4067 4538 6391 8134 9076 12782 15883 16268 24959 25564 31766 44737 49918 63532 89474 99836 111181 174713 178948 188327 222362 349426 376654 444724 698852 753308 1222991 1318289 2071597 2445982 2636578 4143194 4891964 5273156 8286388 9228023 14501179 18456046 29002358 36912092 58004716 101508253 203016506 406033012