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40169664 = 263269739
BaseRepresentation
bin1001100100111…
…1000011000000
32210120211102100
42121033003000
540240412124
63552550400
7665302503
oct231170300
983524370
1040169664
1120747077
1211552400
138425b42
14549913a
1537d71c9
hex264f0c0

40169664 has 42 divisors (see below), whose sum is σ = 115140740. Its totient is φ = 13389696.

The previous prime is 40169663. The next prime is 40169711. The reversal of 40169664 is 46696104.

It is a super-4 number, since 4×401696644 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (40169663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34294 + ... + 35445.

Almost surely, 240169664 is an apocalyptic number.

It is an amenable number.

40169664 is an abundant number, since it is smaller than the sum of its proper divisors (74971076).

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

40169664 is a wasteful number, since it uses less digits than its factorization.

40169664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69757 (or 69744 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40169664 is about 6337.9542440759. The cubic root of 40169664 is about 342.4780428853.

The spelling of 40169664 in words is "forty million, one hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 69739 139478 209217 278956 418434 557912 627651 836868 1115824 1255302 1673736 2231648 2510604 3347472 4463296 5021208 6694944 10042416 13389888 20084832 40169664