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404125304 = 2311107167257
BaseRepresentation
bin11000000101100…
…111011001111000
31001011102200200212
4120011213121320
51311424002204
6104033450252
713005002612
oct3005473170
91034380625
10404125304
11198133360
12b3410988
13659571cb
143b959db2
152572ac6e
hex18167678

404125304 has 64 divisors (see below), whose sum is σ = 842607360. Its totient is φ = 180183040.

The previous prime is 404125291. The next prime is 404125313. The reversal of 404125304 is 403521404.

It is a super-2 number, since 2×4041253042 = 326634522666184832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404125304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572344 + ... + 1572600.

It is an arithmetic number, because the mean of its divisors is an integer number (13165740).

Almost surely, 2404125304 is an apocalyptic number.

404125304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404125304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421303680).

404125304 is an abundant number, since it is smaller than the sum of its proper divisors (438482056).

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

404125304 is a wasteful number, since it uses less digits than its factorization.

404125304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 404125304 is about 20102.8680540862. The cubic root of 404125304 is about 739.3305999061.

Adding to 404125304 its reverse (403521404), we get a palindrome (807646708).

The spelling of 404125304 in words is "four hundred four million, one hundred twenty-five thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 107 167 214 257 334 428 514 668 856 1028 1177 1336 1837 2056 2354 2827 3674 4708 5654 7348 9416 11308 14696 17869 22616 27499 35738 42919 54998 71476 85838 109996 142952 171676 196559 219992 302489 343352 393118 472109 604978 786236 944218 1209956 1572472 1888436 2419912 3776872 4592333 9184666 18369332 36738664 50515663 101031326 202062652 404125304