Search a number
-
+
56295150 = 23522631427
BaseRepresentation
bin1101011010111…
…1111011101110
310220221002102120
43112233323232
5103402421100
65330333410
71252333542
oct326577356
9126832376
1056295150
112986041a
1216a2a266
13b880852
147695a22
154e200a0
hex35afeee

56295150 has 48 divisors (see below), whose sum is σ = 140241024. Its totient is φ = 14944480.

The previous prime is 56295103. The next prime is 56295179. The reversal of 56295150 is 5159265.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38737 + ... + 40163.

It is an arithmetic number, because the mean of its divisors is an integer number (2921688).

Almost surely, 256295150 is an apocalyptic number.

56295150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56295150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512).

56295150 is an abundant number, since it is smaller than the sum of its proper divisors (83945874).

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

56295150 is a wasteful number, since it uses less digits than its factorization.

56295150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 56295150 is about 7503.0093962356. The cubic root of 56295150 is about 383.2572039535.

The spelling of 56295150 in words is "fifty-six million, two hundred ninety-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 263 526 789 1315 1427 1578 2630 2854 3945 4281 6575 7135 7890 8562 13150 14270 19725 21405 35675 39450 42810 71350 107025 214050 375301 750602 1125903 1876505 2251806 3753010 5629515 9382525 11259030 18765050 28147575 56295150