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412268528 = 24713128099
BaseRepresentation
bin11000100100101…
…011011111110000
31001201202102002202
4120210223133300
51321020043103
6104524202332
713134140030
oct3044533760
91051672082
10412268528
111a17954a1
12b60993a8
1367548899
143ca798c0
15262d8988
hex1892b7f0

412268528 has 40 divisors (see below), whose sum is σ = 919881600. Its totient is φ = 175331520.

The previous prime is 412268453. The next prime is 412268533. The reversal of 412268528 is 825862214.

It is a junction number, because it is equal to n+sod(n) for n = 412268491 and 412268500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623 + ... + 28721.

It is an arithmetic number, because the mean of its divisors is an integer number (22997040).

Almost surely, 2412268528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412268528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459940800).

412268528 is an abundant number, since it is smaller than the sum of its proper divisors (507613072).

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

412268528 is a wasteful number, since it uses less digits than its factorization.

412268528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28245 (or 28239 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 412268528 is about 20304.3967652329. The cubic root of 412268528 is about 744.2635113137.

The spelling of 412268528 in words is "four hundred twelve million, two hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 7336 14672 28099 56198 112396 196693 224792 393386 449584 786772 1573544 3147088 3680969 7361938 14723876 25766783 29447752 51533566 58895504 103067132 206134264 412268528