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40199104 = 2611229179
BaseRepresentation
bin1001100101011…
…0001111000000
32210122022210201
42121112033000
540242332404
63553334544
7665454361
oct231261700
983568721
1040199104
1120767200
1211567454
13843636a
1454a5b68
1537e0ca4
hex26563c0

40199104 has 84 divisors (see below), whose sum is σ = 91211400. Its totient is φ = 17543680.

The previous prime is 40199099. The next prime is 40199113.

40199104 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224487 + ... + 224665.

It is an arithmetic number, because the mean of its divisors is an integer number (1085850).

Almost surely, 240199104 is an apocalyptic number.

40199104 is a gapful number since it is divisible by the number (44) 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 40199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45605700).

40199104 is an abundant number, since it is smaller than the sum of its proper divisors (51012296).

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

40199104 is a wasteful number, since it uses less digits than its factorization.

40199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 40199104 is about 6340.2763346719. The cubic root of 40199104 is about 342.5616888546.

The spelling of 40199104 in words is "forty million, one hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 176 179 232 242 319 352 358 464 484 638 704 716 928 968 1276 1432 1856 1936 1969 2552 2864 3509 3872 3938 5104 5191 5728 7018 7744 7876 10208 10382 11456 14036 15752 20416 20764 21659 28072 31504 41528 43318 56144 57101 63008 83056 86636 112288 114202 126016 166112 173272 224576 228404 332224 346544 456808 628111 693088 913616 1256222 1386176 1827232 2512444 3654464 5024888 10049776 20099552 40199104