Search a number
-
+
36290250 = 232531272
BaseRepresentation
bin1000101001101…
…1111011001010
32112021201212100
42022123323022
533242242000
63333454230
7620314323
oct212337312
975251770
1036290250
1119537447
12101a1376
137698129
144b6944a
1532bca00
hex229beca

36290250 has 72 divisors (see below), whose sum is σ = 98907588. Its totient is φ = 9601200.

The previous prime is 36290249. The next prime is 36290273. The reversal of 36290250 is 5209263.

It can be written as a sum of positive squares in 2 ways, for example, as 24532209 + 11758041 = 4953^2 + 3429^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 285687 + ... + 285813.

Almost surely, 236290250 is an apocalyptic number.

36290250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36290250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49453794).

36290250 is an abundant number, since it is smaller than the sum of its proper divisors (62617338).

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

36290250 is a wasteful number, since it uses less digits than its factorization.

36290250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 36290250 is about 6024.1389426208. The cubic root of 36290250 is about 331.0777435942.

Multiplying 36290250 by its product of nonzero digits (3240), we get a square (117580410000 = 3429002).

The spelling of 36290250 in words is "thirty-six million, two hundred ninety thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 127 150 225 250 254 375 381 450 635 750 762 1125 1143 1270 1905 2250 2286 3175 3810 5715 6350 9525 11430 15875 16129 19050 28575 31750 32258 47625 48387 57150 80645 95250 96774 142875 145161 161290 241935 285750 290322 403225 483870 725805 806450 1209675 1451610 2016125 2419350 3629025 4032250 6048375 7258050 12096750 18145125 36290250