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56957250 = 2353719571
BaseRepresentation
bin1101100101000…
…1100101000010
310222011201122210
43121101211002
5104040113000
65352442550
71261062060
oct331214502
9128151583
1056957250
112a172909
12170a9456
13ba5301c
1477c9030
155001350
hex3651942

56957250 has 128 divisors (see below), whose sum is σ = 171325440. Its totient is φ = 12312000.

The previous prime is 56957239. The next prime is 56957273. The reversal of 56957250 is 5275965.

It is a junction number, because it is equal to n+sod(n) for n = 56957199 and 56957208.

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 63 ways as a sum of consecutive naturals, for example, 99465 + ... + 100035.

It is an arithmetic number, because the mean of its divisors is an integer number (1338480).

Almost surely, 256957250 is an apocalyptic number.

56957250 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 56957250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85662720).

56957250 is an abundant number, since it is smaller than the sum of its proper divisors (114368190).

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

56957250 is a wasteful number, since it uses less digits than its factorization.

56957250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 56957250 is about 7547.0027163106. The cubic root of 56957250 is about 384.7538765362.

The spelling of 56957250 in words is "fifty-six million, nine hundred fifty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 125 133 150 175 190 210 250 266 285 350 375 399 475 525 570 571 665 750 798 875 950 1050 1142 1330 1425 1713 1750 1995 2375 2625 2850 2855 3325 3426 3990 3997 4750 5250 5710 6650 7125 7994 8565 9975 10849 11991 14250 14275 16625 17130 19950 19985 21698 23982 28550 32547 33250 39970 42825 49875 54245 59955 65094 71375 75943 85650 99750 99925 108490 119910 142750 151886 162735 199850 214125 227829 271225 299775 325470 379715 428250 455658 499625 542450 599550 759430 813675 999250 1139145 1356125 1498875 1627350 1898575 2278290 2712250 2997750 3797150 4068375 5695725 8136750 9492875 11391450 18985750 28478625 56957250