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26850330 = 23251353433
BaseRepresentation
bin110011001101…
…1010000011010
31212112010201200
41212123100122
523333202310
62355255030
7444136563
oct146332032
955463650
1026850330
111417a061
128baa476
135741490
1437cd16a
1525559c0
hex199b41a

26850330 has 96 divisors (see below), whose sum is σ = 76776336. Its totient is φ = 6469632.

The previous prime is 26850323. The next prime is 26850337. The reversal of 26850330 is 3305862.

It is an interprime number because it is at equal distance from previous prime (26850323) and next prime (26850337).

It can be written as a sum of positive squares in 8 ways, for example, as 4297329 + 22553001 = 2073^2 + 4749^2 .

It is a super-2 number, since 2×268503302 = 1441880442217800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26850294 and 26850303.

It is not an unprimeable number, because it can be changed into a prime (26850337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61794 + ... + 62226.

Almost surely, 226850330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26850330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388168).

26850330 is an abundant number, since it is smaller than the sum of its proper divisors (49926006).

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

26850330 is a wasteful number, since it uses less digits than its factorization.

26850330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 26850330 is about 5181.7304059551. The cubic root of 26850330 is about 299.4446392157. Note that the first 3 decimals are identical.

The spelling of 26850330 in words is "twenty-six million, eight hundred fifty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 433 477 530 585 689 795 866 954 1170 1299 1378 1590 2067 2165 2385 2598 3445 3897 4134 4330 4770 5629 6201 6495 6890 7794 10335 11258 12402 12990 16887 19485 20670 22949 28145 31005 33774 38970 45898 50661 56290 62010 68847 84435 101322 114745 137694 168870 206541 229490 253305 298337 344235 413082 506610 596674 688470 895011 1032705 1491685 1790022 2065410 2685033 2983370 4475055 5370066 8950110 13425165 26850330