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404952912 = 243371310301
BaseRepresentation
bin11000001000110…
…001011101010000
31001012222201222000
4120020301131100
51312131443122
6104103314000
713015020510
oct3010613520
91035881860
10404952912
11198649131
12b374b900
1365b86b10
143bad3840
15258410ac
hex18231750

404952912 has 160 divisors (see below), whose sum is σ = 1430741760. Its totient is φ = 106790400.

The previous prime is 404952883. The next prime is 404952923. The reversal of 404952912 is 219259404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 34162 + ... + 44462.

It is an arithmetic number, because the mean of its divisors is an integer number (8942136).

Almost surely, 2404952912 is an apocalyptic number.

404952912 is a gapful number since it is divisible by the number (42) 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 404952912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715370880).

404952912 is an abundant number, since it is smaller than the sum of its proper divisors (1025788848).

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

404952912 is a wasteful number, since it uses less digits than its factorization.

404952912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 404952912 is about 20123.4418527249. The cubic root of 404952912 is about 739.8349473621.

The spelling of 404952912 in words is "four hundred four million, nine hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 10301 13104 19656 20602 30903 39312 41204 61806 72107 82408 92709 123612 133913 144214 164816 185418 216321 247224 267826 278127 288428 370836 401739 432642 494448 535652 556254 576856 648963 741672 803478 865284 937391 1071304 1112508 1153712 1205217 1297926 1483344 1606956 1730568 1874782 1946889 2142608 2225016 2410434 2595852 2812173 3213912 3461136 3615651 3749564 3893778 4450032 4820868 5191704 5624346 6427824 7231302 7499128 7787556 8436519 9641736 10383408 11248692 14462604 14998256 15575112 16873038 19283472 22497384 25309557 28925208 31150224 33746076 44994768 50619114 57850416 67492152 101238228 134984304 202476456 404952912