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40193880 = 23352314563
BaseRepresentation
bin1001100101010…
…0111101011000
32210122001122020
42121110331120
540242201010
63553254440
7665433216
oct231247530
983561566
1040193880
1120763291
1211564420
138433b7c
1454a3cb6
1537de470
hex2654f58

40193880 has 64 divisors (see below), whose sum is σ = 125832960. Its totient is φ = 10251648.

The previous prime is 40193869. The next prime is 40193897. The reversal of 40193880 is 8839104.

40193880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 4522 + ... + 10041.

It is an arithmetic number, because the mean of its divisors is an integer number (1966140).

Almost surely, 240193880 is an apocalyptic number.

40193880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40193880 is an abundant number, since it is smaller than the sum of its proper divisors (85639080).

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

40193880 is a wasteful number, since it uses less digits than its factorization.

40193880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14600 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 40193880 is about 6339.8643518612. The cubic root of 40193880 is about 342.5468492221.

The spelling of 40193880 in words is "forty million, one hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 14563 29126 43689 58252 72815 87378 116504 145630 174756 218445 291260 334949 349512 436890 582520 669898 873780 1004847 1339796 1674745 1747560 2009694 2679592 3349490 4019388 5024235 6698980 8038776 10048470 13397960 20096940 40193880