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533413400 = 2352131931063
BaseRepresentation
bin11111110010110…
…011111000011000
31101011201012121212
4133302303320120
52043023212100
6124532522252
716134640052
oct3762637030
91334635555
10533413400
11254109423
1212a780388
1386683940
1450bb28d2
1531c68635
hex1fcb3e18

533413400 has 96 divisors (see below), whose sum is σ = 1343768160. Its totient is φ = 195747840.

The previous prime is 533413393. The next prime is 533413411. The reversal of 533413400 is 4314335.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501269 + ... + 502331.

It is an arithmetic number, because the mean of its divisors is an integer number (13997585).

Almost surely, 2533413400 is an apocalyptic number.

533413400 is a gapful number since it is divisible by the number (50) 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 533413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671884080).

533413400 is an abundant number, since it is smaller than the sum of its proper divisors (810354760).

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

533413400 is a wasteful number, since it uses less digits than its factorization.

533413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 533413400 is about 23095.7441967130. The cubic root of 533413400 is about 811.0008458492. Note that the first 3 decimals are identical.

Adding to 533413400 its reverse (4314335), we get a palindrome (537727735).

The spelling of 533413400 in words is "five hundred thirty-three million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 193 200 260 325 386 520 650 772 965 1063 1300 1544 1930 2126 2509 2600 3860 4252 4825 5018 5315 7720 8504 9650 10036 10630 12545 13819 19300 20072 21260 25090 26575 27638 38600 42520 50180 53150 55276 62725 69095 100360 106300 110552 125450 138190 205159 212600 250900 276380 345475 410318 501800 552760 690950 820636 1025795 1381900 1641272 2051590 2667067 2763800 4103180 5128975 5334134 8206360 10257950 10668268 13335335 20515900 21336536 26670670 41031800 53341340 66676675 106682680 133353350 266706700 533413400