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41966464 = 27595557
BaseRepresentation
bin1010000000010…
…1101110000000
32220222010011111
42200011232000
541220411324
64055253104
71016465131
oct240055600
986863144
1041966464
1121764031
121207a194
138904937
145805c88
153a3e794
hex2805b80

41966464 has 32 divisors (see below), whose sum is σ = 85037400. Its totient is φ = 20623872.

The previous prime is 41966461. The next prime is 41966521. The reversal of 41966464 is 46466914.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×419664642 = 3522368201326592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41966461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4774 + ... + 10330.

Almost surely, 241966464 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 41966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42518700).

41966464 is an abundant number, since it is smaller than the sum of its proper divisors (43070936).

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

41966464 is an equidigital number, since it uses as much as digits as its factorization.

41966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5618 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 41966464 is about 6478.1528231433. The cubic root of 41966464 is about 347.5101223696.

The spelling of 41966464 in words is "forty-one million, nine hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 5557 7552 11114 22228 44456 88912 177824 327863 355648 655726 711296 1311452 2622904 5245808 10491616 20983232 41966464