Search a number
-
+
40194816 = 283199263
BaseRepresentation
bin1001100101010…
…1001100000000
32210122002220220
42121111030000
540242213231
63553303040
7665436024
oct231251400
983562826
1040194816
1120763a62
1211564a80
13843441c
1454a4384
1537de896
hex2655300

40194816 has 72 divisors (see below), whose sum is σ = 107923200. Its totient is φ = 13280256.

The previous prime is 40194799. The next prime is 40194857. The reversal of 40194816 is 61849104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152701 + ... + 152963.

Almost surely, 240194816 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 40194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53961600).

40194816 is an abundant number, since it is smaller than the sum of its proper divisors (67728384).

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

40194816 is a wasteful number, since it uses less digits than its factorization.

40194816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

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

The square root of 40194816 is about 6339.9381700455. The cubic root of 40194816 is about 342.5495081788.

The spelling of 40194816 in words is "forty million, one hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 263 384 398 526 597 768 789 796 1052 1194 1578 1592 2104 2388 3156 3184 4208 4776 6312 6368 8416 9552 12624 12736 16832 19104 25248 25472 33664 38208 50496 50944 52337 67328 76416 100992 104674 152832 157011 201984 209348 314022 418696 628044 837392 1256088 1674784 2512176 3349568 5024352 6699136 10048704 13398272 20097408 40194816