Search a number
-
+
404743092 = 223131927187
BaseRepresentation
bin11000000111111…
…110001110110100
31001012121002010220
4120013332032310
51312103234332
6104055014340
713013155005
oct3007761664
91035532126
10404743092
11198515526
12b366a3b0
1365b12470
143ba7b1ac
15257edd2c
hex181fe3b4

404743092 has 72 divisors (see below), whose sum is σ = 1073542176. Its totient is φ = 117965376.

The previous prime is 404743091. The next prime is 404743147. The reversal of 404743092 is 290347404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404743091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52723 + ... + 59909.

It is an arithmetic number, because the mean of its divisors is an integer number (14910308).

Almost surely, 2404743092 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 404743092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536771088).

404743092 is an abundant number, since it is smaller than the sum of its proper divisors (668799084).

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

404743092 is a wasteful number, since it uses less digits than its factorization.

404743092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7224 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 404743092 is about 20118.2278543613. The cubic root of 404743092 is about 739.7071473289.

The spelling of 404743092 in words is "four hundred four million, seven hundred forty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2964 4332 4693 7187 9386 14079 14374 18772 21561 28158 28748 43122 56316 86244 93431 136553 186862 273106 280293 373724 409659 546212 560586 819318 1121172 1638636 1775189 2594507 3550378 5189014 5325567 7100756 7783521 10378028 10651134 15567042 21302268 31134084 33728591 67457182 101185773 134914364 202371546 404743092