Search a number
-
+
36878256 = 2432298831
BaseRepresentation
bin1000110010101…
…1011110110000
32120101121110100
42030223132300
533420101011
63354232400
7625313532
oct214533660
976347410
1036878256
11198a91a8
1210425700
13784296c
144c7d852
153386d56
hex232b7b0

36878256 has 60 divisors (see below), whose sum is σ = 106778880. Its totient is φ = 11867520.

The previous prime is 36878249. The next prime is 36878267. The reversal of 36878256 is 65287863.

36878256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 240 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (1779648).

Almost surely, 236878256 is an apocalyptic number.

36878256 is a gapful number since it is divisible by the number (36) 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 36878256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53389440).

36878256 is an abundant number, since it is smaller than the sum of its proper divisors (69900624).

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

36878256 is a wasteful number, since it uses less digits than its factorization.

36878256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874 (or 8865 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 36878256 is about 6072.7469896250. The cubic root of 36878256 is about 332.8563078880.

The spelling of 36878256 in words is "thirty-six million, eight hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 8831 17662 26493 35324 52986 70648 79479 105972 141296 158958 211944 256099 317916 423888 512198 635832 768297 1024396 1271664 1536594 2048792 2304891 3073188 4097584 4609782 6146376 9219564 12292752 18439128 36878256