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245535312 = 243111493121
BaseRepresentation
bin11101010001010…
…01001001010000
3122010000111010110
432220221021100
51000324112222
640210401320
76041005251
oct1650511120
9563014113
10245535312
11116664350
126a290240
133bb3b489
1424876b28
151685130c
hexea29250

245535312 has 80 divisors (see below), whose sum is σ = 696830400. Its totient is φ = 73881600.

The previous prime is 245535287. The next prime is 245535313. The reversal of 245535312 is 213535542.

It is a self number, because there is not a number n which added to its sum of digits gives 245535312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245535313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77112 + ... + 80232.

It is an arithmetic number, because the mean of its divisors is an integer number (8710380).

Almost surely, 2245535312 is an apocalyptic number.

245535312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245535312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348415200).

245535312 is an abundant number, since it is smaller than the sum of its proper divisors (451295088).

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

245535312 is a wasteful number, since it uses less digits than its factorization.

245535312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3286 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 245535312 is about 15669.5664266756. The cubic root of 245535312 is about 626.1878738057.

The spelling of 245535312 in words is "two hundred forty-five million, five hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 894 1192 1639 1788 2384 3121 3278 3576 4917 6242 6556 7152 9363 9834 12484 13112 18726 19668 24968 26224 34331 37452 39336 49936 68662 74904 78672 102993 137324 149808 205986 274648 411972 465029 549296 823944 930058 1395087 1647888 1860116 2790174 3720232 5115319 5580348 7440464 10230638 11160696 15345957 20461276 22321392 30691914 40922552 61383828 81845104 122767656 245535312