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412214572 = 227112172421
BaseRepresentation
bin11000100100011…
…110010100101100
31001201122200002101
4120210132110230
51321011331242
6104523104444
713133523520
oct3044362454
91051580071
10412214572
111a1758a00
12b6072124
136752a163
143ca63d80
15262c79b7
hex1891e52c

412214572 has 108 divisors (see below), whose sum is σ = 964918192. Its totient is φ = 150796800.

The previous prime is 412214567. The next prime is 412214591. The reversal of 412214572 is 275412214.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 412214572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 978922 + ... + 979342.

Almost surely, 2412214572 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 412214572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482459096).

412214572 is an abundant number, since it is smaller than the sum of its proper divisors (552703620).

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

412214572 is a wasteful number, since it uses less digits than its factorization.

412214572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 458 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 412214572 is about 20303.0680440174. The cubic root of 412214572 is about 744.2310411870.

Adding to 412214572 its reverse (275412214), we get a palindrome (687626786).

The spelling of 412214572 in words is "four hundred twelve million, two hundred fourteen thousand, five hundred seventy-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 121 154 187 238 242 289 308 374 421 476 484 578 748 842 847 1156 1309 1684 1694 2023 2057 2618 2947 3179 3388 4046 4114 4631 5236 5894 6358 7157 8092 8228 9262 11788 12716 14314 14399 18524 22253 28628 28798 32417 34969 44506 50099 50941 57596 64834 69938 78727 89012 100198 101882 121669 129668 139876 157454 200396 203764 243338 244783 314908 356587 486676 489566 551089 713174 851683 865997 979132 1102178 1338359 1426348 1703366 1731994 2204356 2676718 3406732 3463988 5353436 6061979 9368513 12123958 14721949 18737026 24247916 29443898 37474052 58887796 103053643 206107286 412214572