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533775040 = 2652337159
BaseRepresentation
bin11111110100001…
…100001011000000
31101012101120200221
4133310030023000
52043121300130
6124544352424
716141004311
oct3764141300
91335346627
10533775040
112543360a7
1212a915714
138677c426
1450c68608
1531cda87a
hex1fd0c2c0

533775040 has 56 divisors (see below), whose sum is σ = 1276685280. Its totient is φ = 212563968.

The previous prime is 533775029. The next prime is 533775043. The reversal of 533775040 is 40577335.

It is a junction number, because it is equal to n+sod(n) for n = 533774987 and 533775005.

It is not an unprimeable number, because it can be changed into a prime (533775043) 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 7 ways as a sum of consecutive naturals, for example, 70981 + ... + 78139.

Almost surely, 2533775040 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 533775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638342640).

533775040 is an abundant number, since it is smaller than the sum of its proper divisors (742910240).

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

533775040 is a wasteful number, since it uses less digits than its factorization.

533775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 34.

The square root of 533775040 is about 23103.5720181967. The cubic root of 533775040 is about 811.1840833968.

The spelling of 533775040 in words is "five hundred thirty-three million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 320 466 932 1165 1864 2330 3728 4660 7159 7456 9320 14318 14912 18640 28636 35795 37280 57272 71590 74560 114544 143180 229088 286360 458176 572720 1145440 1668047 2290880 3336094 6672188 8340235 13344376 16680470 26688752 33360940 53377504 66721880 106755008 133443760 266887520 533775040