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42212025 = 3252434363
BaseRepresentation
bin1010000100000…
…1101010111001
32221102121000100
42201001222321
541301241100
64104430013
71021540062
oct241015271
987377010
1042212025
1121911579
1212178309
13898c63b
14586b569
153a8c400
hex2841ab9

42212025 has 36 divisors (see below), whose sum is σ = 77382448. Its totient is φ = 21984480.

The previous prime is 42212017. The next prime is 42212033. The reversal of 42212025 is 52021224.

It is an interprime number because it is at equal distance from previous prime (42212017) and next prime (42212033).

It is not a de Polignac number, because 42212025 - 23 = 42212017 is a prime.

It is a super-3 number, since 3×422120253 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42211989 and 42212007.

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 35 ways as a sum of consecutive naturals, for example, 7494 + ... + 11856.

Almost surely, 242212025 is an apocalyptic number.

42212025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42212025 is a deficient number, since it is larger than the sum of its proper divisors (35170423).

42212025 is a wasteful number, since it uses less digits than its factorization.

42212025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42212025 is about 6497.0781894633. The cubic root of 42212025 is about 348.1866072111.

Adding to 42212025 its reverse (52021224), we get a palindrome (94233249).

The spelling of 42212025 in words is "forty-two million, two hundred twelve thousand, twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 645 1075 1935 3225 4363 9675 13089 21815 39267 65445 109075 187609 196335 327225 562827 938045 981675 1688481 2814135 4690225 8442405 14070675 42212025