Search a number
-
+
40800192 = 263212501
BaseRepresentation
bin1001101110100…
…0111111000000
32211202212100020
42123220333000
540421101232
64014253440
71003536666
oct233507700
984685306
1040800192
1121037874
12117b7280
1385b6b34
1455c0c36
1538ade2c
hex26e8fc0

40800192 has 28 divisors (see below), whose sum is σ = 107951016. Its totient is φ = 13600000.

The previous prime is 40800191. The next prime is 40800203. The reversal of 40800192 is 29100804.

40800192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40800191) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 106059 + ... + 106442.

Almost surely, 240800192 is an apocalyptic number.

It is an amenable number.

40800192 is an abundant number, since it is smaller than the sum of its proper divisors (67150824).

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

40800192 is a wasteful number, since it uses less digits than its factorization.

40800192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212516 (or 212506 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 40800192 is about 6387.5027984338. The cubic root of 40800192 is about 344.2606641603.

Adding to 40800192 its reverse (29100804), we get a palindrome (69900996).

The spelling of 40800192 in words is "forty million, eight hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 212501 425002 637503 850004 1275006 1700008 2550012 3400016 5100024 6800032 10200048 13600064 20400096 40800192