Search a number
-
+
411426048 = 28311311571
BaseRepresentation
bin11000100001011…
…101110100000000
31001200011121102210
4120201131310000
51320311113143
6104454142120
713124030565
oct3041356400
91050147383
10411426048
111a126a530
12b5951940
1367312287
143c8da86c
15261be033
hex1885dd00

411426048 has 144 divisors (see below), whose sum is σ = 1233856512. Its totient is φ = 120576000.

The previous prime is 411426031. The next prime is 411426053. The reversal of 411426048 is 840624114.

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 15 ways as a sum of consecutive naturals, for example, 261103 + ... + 262673.

It is an arithmetic number, because the mean of its divisors is an integer number (8568448).

Almost surely, 2411426048 is an apocalyptic number.

411426048 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 411426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616928256).

411426048 is an abundant number, since it is smaller than the sum of its proper divisors (822430464).

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

411426048 is a wasteful number, since it uses less digits than its factorization.

411426048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 411426048 is about 20283.6399100359. The cubic root of 411426048 is about 743.7561925149.

The spelling of 411426048 in words is "four hundred eleven million, four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 528 682 704 744 768 992 1023 1056 1364 1408 1488 1571 1984 2046 2112 2728 2816 2976 3142 3968 4092 4224 4713 5456 5952 6284 7936 8184 8448 9426 10912 11904 12568 16368 17281 18852 21824 23808 25136 32736 34562 37704 43648 48701 50272 51843 65472 69124 75408 87296 97402 100544 103686 130944 138248 146103 150816 194804 201088 207372 261888 276496 292206 301632 389608 402176 414744 535711 552992 584412 603264 779216 829488 1071422 1105984 1168824 1206528 1558432 1607133 1658976 2142844 2211968 2337648 3116864 3214266 3317952 4285688 4423936 4675296 6233728 6428532 6635904 8571376 9350592 12467456 12857064 13271808 17142752 18701184 25714128 34285504 37402368 51428256 68571008 102856512 137142016 205713024 411426048