Search a number
-
+
36040416 = 2531919759
BaseRepresentation
bin1000100101111…
…0111011100000
32111211001011020
42021132323200
533211243131
63324245440
7615224046
oct211367340
974731136
1036040416
1119386775
12100a0880
13760b4b9
144b02396
15326d996
hex225eee0

36040416 has 48 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 11380608.

The previous prime is 36040409. The next prime is 36040427. The reversal of 36040416 is 61404063.

36040416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 8056 + ... + 11703.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 236040416 is an apocalyptic number.

It is an amenable number.

36040416 is an abundant number, since it is smaller than the sum of its proper divisors (63549984).

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

36040416 is a wasteful number, since it uses less digits than its factorization.

36040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19791 (or 19783 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36040416 is about 6003.3670552449. The cubic root of 36040416 is about 330.3162441326.

Adding to 36040416 its reverse (61404063), we get a palindrome (97444479).

The spelling of 36040416 in words is "thirty-six million, forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 19759 39518 59277 79036 118554 158072 237108 316144 375421 474216 632288 750842 948432 1126263 1501684 1896864 2252526 3003368 4505052 6006736 9010104 12013472 18020208 36040416