Search a number
-
+
40352256 = 29347139
BaseRepresentation
bin1001100111101…
…1101000000000
32210221002220000
42121323220000
540312233011
64000520000
7666663030
oct231735000
983832800
1040352256
112086127a
1211620000
13848ac99
1455058c0
153821356
hex267ba00

40352256 has 200 divisors, whose sum is σ = 138636960. Its totient is φ = 11446272.

The previous prime is 40352243. The next prime is 40352261. The reversal of 40352256 is 65225304.

40352256 is a `hidden beast` number, since 403 + 5 + 2 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 290235 + ... + 290373.

Almost surely, 240352256 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 40352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69318480).

40352256 is an abundant number, since it is smaller than the sum of its proper divisors (98284704).

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

40352256 is an equidigital number, since it uses as much as digits as its factorization.

40352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 40352256 is about 6352.3425600325. The cubic root of 40352256 is about 342.9961721871.

The spelling of 40352256 in words is "forty million, three hundred fifty-two thousand, two hundred fifty-six".