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41669712 = 2432767617
BaseRepresentation
bin1001111011110…
…1010001010000
32220102001002200
42132331101100
541131412322
64045043200
71014121020
oct236752120
986361080
1041669712
1121581087
1211b56500
13882c846
145769a80
1539d18ac
hex27bd450

41669712 has 120 divisors (see below), whose sum is σ = 135485376. Its totient is φ = 11708928.

The previous prime is 41669707. The next prime is 41669743. The reversal of 41669712 is 21796614.

41669712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 67228 + ... + 67844.

Almost surely, 241669712 is an apocalyptic number.

41669712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41669712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67742688).

41669712 is an abundant number, since it is smaller than the sum of its proper divisors (93815664).

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

41669712 is a wasteful number, since it uses less digits than its factorization.

41669712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 41669712 is about 6455.2081298747. The cubic root of 41669712 is about 346.6890830344.

The spelling of 41669712 in words is "forty-one million, six hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 617 804 938 1008 1072 1206 1234 1407 1608 1851 1876 2412 2468 2814 3216 3702 3752 4221 4319 4824 4936 5553 5628 7404 7504 8442 8638 9648 9872 11106 11256 12957 14808 16884 17276 22212 22512 25914 29616 33768 34552 38871 41339 44424 51828 67536 69104 77742 82678 88848 103656 124017 155484 165356 207312 248034 289373 310968 330712 372051 496068 578746 621936 661424 744102 868119 992136 1157492 1488204 1736238 1984272 2314984 2604357 2976408 3472476 4629968 5208714 5952816 6944952 10417428 13889904 20834856 41669712