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56277140 = 225171031607
BaseRepresentation
bin1101011010101…
…1100010010100
310220220011201112
43112223202110
5103401332030
65330114152
71252230203
oct326534224
9126804645
1056277140
1129848937
1216a1b958
13b8755aa
14768d23a
154e19a95
hex35ab894

56277140 has 48 divisors (see below), whose sum is σ = 126427392. Its totient is φ = 20967936.

The previous prime is 56277127. The next prime is 56277161. The reversal of 56277140 is 4177265.

56277140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56277097 and 56277106.

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 15 ways as a sum of consecutive naturals, for example, 34217 + ... + 35823.

It is an arithmetic number, because the mean of its divisors is an integer number (2633904).

Almost surely, 256277140 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 56277140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63213696).

56277140 is an abundant number, since it is smaller than the sum of its proper divisors (70150252).

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

56277140 is a wasteful number, since it uses less digits than its factorization.

56277140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 56277140 is about 7501.8091151402. The cubic root of 56277140 is about 383.2163289198.

The spelling of 56277140 in words is "fifty-six million, two hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1607 1751 2060 3214 3502 6428 7004 8035 8755 16070 17510 27319 32140 35020 54638 109276 136595 165521 273190 331042 546380 662084 827605 1655210 2813857 3310420 5627714 11255428 14069285 28138570 56277140