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412057828 = 22713231532
BaseRepresentation
bin11000100011111…
…000000011100100
31001201100201002001
4120203320003210
51320441322303
6104515455044
713132301530
oct3043700344
91051321061
10412057828
111a1661166
12b5bb7484
13674a3a00
143ca22bc0
152629631d
hex188f80e4

412057828 has 108 divisors (see below), whose sum is σ = 938880768. Its totient is φ = 154776960.

The previous prime is 412057819. The next prime is 412057837. The reversal of 412057828 is 828750214.

It is an interprime number because it is at equal distance from previous prime (412057819) and next prime (412057837).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7774650 + ... + 7774702.

Almost surely, 2412057828 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 412057828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469440384).

412057828 is an abundant number, since it is smaller than the sum of its proper divisors (526822940).

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

412057828 is a wasteful number, since it uses less digits than its factorization.

412057828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 412057828 is about 20299.2075707403. The cubic root of 412057828 is about 744.1366982993.

The spelling of 412057828 in words is "four hundred twelve million, fifty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 53 62 91 106 124 169 182 212 217 338 364 371 403 434 676 689 742 806 868 1183 1378 1484 1612 1643 2366 2756 2809 2821 3286 4732 4823 5239 5618 5642 6572 8957 9646 10478 11236 11284 11501 17914 19292 19663 20956 21359 23002 35828 36517 36673 39326 42718 46004 62699 73034 73346 78652 85436 87079 125398 146068 146692 149513 174158 250796 255619 277667 299026 348316 474721 511238 555334 598052 609553 949442 1022476 1110668 1132027 1219106 1898884 1943669 2264054 2438212 3323047 3887338 4528108 6646094 7774676 7924189 13292188 14716351 15848378 29432702 31696756 58865404 103014457 206028914 412057828