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56003250 = 235389839
BaseRepresentation
bin1101010110100…
…0101010110010
310220101021000110
43111220222302
5103314101000
65320202150
71250006532
oct325505262
9126337013
1056003250
1129681086
1216909356
13b7aaa24
14761b4c2
154db3850
hex3568ab2

56003250 has 64 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 14748800.

The previous prime is 56003249. The next prime is 56003251. The reversal of 56003250 is 5230065.

56003250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56003249) and next prime (56003251).

It is a super-3 number, since 3×560032503 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56003251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66331 + ... + 67169.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 256003250 is an apocalyptic number.

56003250 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 56003250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

56003250 is an abundant number, since it is smaller than the sum of its proper divisors (85519950).

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

56003250 is a wasteful number, since it uses less digits than its factorization.

56003250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 56003250 is about 7483.5319201564. The cubic root of 56003250 is about 382.5936376331.

The spelling of 56003250 in words is "fifty-six million, three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 125 150 178 250 267 375 445 534 750 839 890 1335 1678 2225 2517 2670 4195 4450 5034 6675 8390 11125 12585 13350 20975 22250 25170 33375 41950 62925 66750 74671 104875 125850 149342 209750 224013 314625 373355 448026 629250 746710 1120065 1866775 2240130 3733550 5600325 9333875 11200650 18667750 28001625 56003250