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41166996 = 223131719243
BaseRepresentation
bin1001110100001…
…0100010010100
32212110111111120
42131002202110
541014320441
64030203540
71006625253
oct235024224
985414446
1041166996
1121268412
12119535b0
1386b4a90
14567879a
153932966
hex2742894

41166996 has 144 divisors (see below), whose sum is σ = 118286784. Its totient is φ = 11031552.

The previous prime is 41166991. The next prime is 41166997. The reversal of 41166996 is 69966114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41166991) 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, 957351 + ... + 957393.

It is an arithmetic number, because the mean of its divisors is an integer number (821436).

Almost surely, 241166996 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 41166996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59143392).

41166996 is an abundant number, since it is smaller than the sum of its proper divisors (77119788).

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

41166996 is a wasteful number, since it uses less digits than its factorization.

41166996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 41166996 is about 6416.1511827575. The cubic root of 41166996 is about 345.2892512251.

The spelling of 41166996 in words is "forty-one million, one hundred sixty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 43 51 52 57 68 76 78 86 102 114 129 156 172 204 221 228 247 258 323 361 442 494 516 559 646 663 722 731 741 817 884 969 988 1083 1118 1292 1326 1444 1462 1482 1634 1677 1938 2166 2193 2236 2451 2652 2924 2964 3268 3354 3876 4199 4332 4386 4693 4902 6137 6708 8398 8772 9386 9503 9804 10621 12274 12597 13889 14079 15523 16796 18411 18772 19006 21242 24548 25194 27778 28158 28509 31046 31863 36822 38012 41667 42484 46569 50388 55556 56316 57018 62092 63726 73644 79781 83334 93138 114036 127452 159562 166668 180557 186276 201799 239343 263891 319124 361114 403598 478686 527782 541671 605397 722228 791673 807196 957372 1055564 1083342 1210794 1583346 2166684 2421588 3166692 3430583 6861166 10291749 13722332 20583498 41166996