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406939404 = 22317103107181
BaseRepresentation
bin11000010000010…
…110011100001100
31001100201122220210
4120100112130030
51313134030104
6104214042420
713040633154
oct3020263414
91040648823
10406939404
11199785663
12b4349410
1366401061
143c08d764
1525ad4989
hex1841670c

406939404 has 96 divisors (see below), whose sum is σ = 1030288896. Its totient is φ = 124554240.

The previous prime is 406939363. The next prime is 406939451. The reversal of 406939404 is 404939604.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2248194 + ... + 2248374.

It is an arithmetic number, because the mean of its divisors is an integer number (10732176).

Almost surely, 2406939404 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 406939404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515144448).

406939404 is an abundant number, since it is smaller than the sum of its proper divisors (623349492).

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

406939404 is a wasteful number, since it uses less digits than its factorization.

406939404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 406939404 is about 20172.7391298257. The cubic root of 406939404 is about 741.0427252943.

The spelling of 406939404 in words is "four hundred six million, nine hundred thirty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 107 181 204 206 214 309 321 362 412 428 543 618 642 724 1086 1236 1284 1751 1819 2172 3077 3502 3638 5253 5457 6154 7004 7276 9231 10506 10914 11021 12308 18462 18643 19367 21012 21828 22042 33063 36924 37286 38734 44084 55929 58101 66126 74572 77468 111858 116202 132252 187357 223716 232404 316931 329239 374714 562071 633862 658478 749428 950793 987717 1124142 1267724 1316956 1901586 1975434 1994801 2248284 3803172 3950868 3989602 5984403 7979204 11968806 23937612 33911617 67823234 101734851 135646468 203469702 406939404