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33053240 = 23511431747
BaseRepresentation
bin111111000010…
…1101000111000
32022012021112002
41332011220320
531430200430
63140240132
7550643063
oct176055070
968167462
1033053240
1117726430
12b0a0048
136b0393c
1445658da
152d7d845
hex1f85a38

33053240 has 64 divisors (see below), whose sum is σ = 83064960. Its totient is φ = 11733120.

The previous prime is 33053233. The next prime is 33053249. The reversal of 33053240 is 4235033.

It is a super-3 number, since 3×330532403 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33053249) 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 15 ways as a sum of consecutive naturals, for example, 18047 + ... + 19793.

It is an arithmetic number, because the mean of its divisors is an integer number (1297890).

Almost surely, 233053240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41532480).

33053240 is an abundant number, since it is smaller than the sum of its proper divisors (50011720).

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

33053240 is a wasteful number, since it uses less digits than its factorization.

33053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 33053240 is about 5749.1947262204. The cubic root of 33053240 is about 320.9258343876.

Adding to 33053240 its reverse (4235033), we get a palindrome (37288273).

The spelling of 33053240 in words is "thirty-three million, fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1747 1892 2365 3494 3784 4730 6988 8735 9460 13976 17470 18920 19217 34940 38434 69880 75121 76868 96085 150242 153736 192170 300484 375605 384340 600968 751210 768680 826331 1502420 1652662 3004840 3305324 4131655 6610648 8263310 16526620 33053240