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413028558 = 23537103223
BaseRepresentation
bin11000100111100…
…101000011001110
31001210012000200000
4120213211003032
51321213403213
6104552345130
713143453615
oct3047450316
91053160600
10413028558
111a2164518
12b63a51a6
13677537c7
143cbd687c
15263d8c73
hex189e50ce

413028558 has 96 divisors (see below), whose sum is σ = 966690816. Its totient is φ = 132059808.

The previous prime is 413028557. The next prime is 413028563. The reversal of 413028558 is 855820314.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413028557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1852035 + ... + 1852257.

It is an arithmetic number, because the mean of its divisors is an integer number (10069696).

Almost surely, 2413028558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413028558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483345408).

413028558 is an abundant number, since it is smaller than the sum of its proper divisors (553662258).

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

413028558 is a wasteful number, since it uses less digits than its factorization.

413028558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 413028558 is about 20323.1040444121. The cubic root of 413028558 is about 744.7205882818.

The spelling of 413028558 in words is "four hundred thirteen million, twenty-eight thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 103 111 162 206 222 223 243 309 333 446 486 618 666 669 927 999 1338 1854 1998 2007 2781 2997 3811 4014 5562 5994 6021 7622 8251 8343 8991 11433 12042 16502 16686 17982 18063 22866 22969 24753 25029 34299 36126 45938 49506 50058 54189 68598 68907 74259 102897 108378 137814 148518 205794 206721 222777 308691 413442 445554 617382 620163 668331 849853 926073 1240326 1336662 1699706 1852146 1860489 2004993 2549559 3720978 4009986 5099118 5581467 7648677 11162934 15297354 22946031 45892062 68838093 137676186 206514279 413028558