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411824196 = 223371393919
BaseRepresentation
bin11000100010111…
…111000001000100
31001200220211121000
4120202333001010
51320411333241
6104510453300
713130306430
oct3042770104
91050824530
10411824196
111a1511683
12b5b04230
1367421574
143c9a19c0
152624beb6
hex188bf044

411824196 has 96 divisors (see below), whose sum is σ = 1229312000. Its totient is φ = 116787744.

The previous prime is 411824191. The next prime is 411824207. The reversal of 411824196 is 691428114.

It is a super-2 number, since 2×4118241962 = 339198336822092832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 411824196.

It is not an unprimeable number, because it can be changed into a prime (411824191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103125 + ... + 107043.

Almost surely, 2411824196 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 411824196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614656000).

411824196 is an abundant number, since it is smaller than the sum of its proper divisors (817487804).

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

411824196 is a wasteful number, since it uses less digits than its factorization.

411824196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4070 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 411824196 is about 20293.4520473970. The cubic root of 411824196 is about 743.9960327572.

The spelling of 411824196 in words is "four hundred eleven million, eight hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 252 278 378 417 556 756 834 973 1251 1668 1946 2502 2919 3753 3892 3919 5004 5838 7506 7838 8757 11676 11757 15012 15676 17514 23514 26271 27433 35028 35271 47028 52542 54866 70542 82299 105084 105813 109732 141084 164598 211626 246897 329196 423252 493794 544741 740691 987588 1089482 1481382 1634223 2178964 2962764 3268446 3813187 4902669 6536892 7626374 9805338 11439561 14708007 15252748 19610676 22879122 29416014 34318683 45758244 58832028 68637366 102956049 137274732 205912098 411824196