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404412048 = 243317531039
BaseRepresentation
bin11000000110101…
…101011010010000
31001011222021001000
4120012231122100
51312012141143
6104043542000
713010305605
oct3006553220
91034867030
10404412048
11198309837
12b352a900
1365a27891
143b9d26ac
1525785bd3
hex181ad690

404412048 has 160 divisors (see below), whose sum is σ = 1253491200. Its totient is φ = 124360704.

The previous prime is 404412023. The next prime is 404412053. The reversal of 404412048 is 840214404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388713 + ... + 389751.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2404412048 is an apocalyptic number.

404412048 is a gapful number since it is divisible by the number (48) 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 404412048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600).

404412048 is an abundant number, since it is smaller than the sum of its proper divisors (849079152).

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

404412048 is a wasteful number, since it uses less digits than its factorization.

404412048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 404412048 is about 20109.9987071108. The cubic root of 404412048 is about 739.5054206779.

The spelling of 404412048 in words is "four hundred four million, four hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 53 54 68 72 102 106 108 136 144 153 159 204 212 216 272 306 318 408 424 432 459 477 612 636 816 848 901 918 954 1039 1224 1272 1431 1802 1836 1908 2078 2448 2544 2703 2862 3117 3604 3672 3816 4156 5406 5724 6234 7208 7344 7632 8109 8312 9351 10812 11448 12468 14416 16218 16624 17663 18702 21624 22896 24327 24936 28053 32436 35326 37404 43248 48654 49872 52989 55067 56106 64872 70652 74808 97308 105978 110134 112212 129744 141304 149616 158967 165201 194616 211956 220268 224424 282608 317934 330402 389232 423912 440536 448848 476901 495603 635868 660804 847824 881072 936139 953802 991206 1271736 1321608 1486809 1872278 1907604 1982412 2543472 2643216 2808417 2973618 3744556 3815208 3964824 5616834 5947236 7489112 7630416 7929648 8425251 11233668 11894472 14978224 16850502 22467336 23788944 25275753 33701004 44934672 50551506 67402008 101103012 134804016 202206024 404412048