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533442960 = 24325740893
BaseRepresentation
bin11111110010111…
…011000110010000
31101011202201011200
4133302323012100
52043030133320
6124533311200
716135122201
oct3762730620
91334681150
10533442960
11254129656
1212a795500
138669422b
1450bbd5a8
1531c72290
hex1fcbb190

533442960 has 60 divisors (see below), whose sum is σ = 1791481692. Its totient is φ = 142251264.

The previous prime is 533442953. The next prime is 533442967. The reversal of 533442960 is 69244335.

533442960 is a `hidden beast` number, since 533 + 44 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (533442953) and next prime (533442967).

It can be written as a sum of positive squares in 2 ways, for example, as 153660816 + 379782144 = 12396^2 + 19488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×5334429602 = 569122783147123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (533442967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369727 + ... + 371166.

Almost surely, 2533442960 is an apocalyptic number.

It is an amenable number.

533442960 is an abundant number, since it is smaller than the sum of its proper divisors (1258038732).

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

533442960 is a wasteful number, since it uses less digits than its factorization.

533442960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740912 (or 740903 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 533442960 is about 23096.3841325866. The cubic root of 533442960 is about 811.0158265640.

The spelling of 533442960 in words is "five hundred thirty-three million, four hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 740893 1481786 2222679 2963572 3704465 4445358 5927144 6668037 7408930 8890716 11113395 11854288 13336074 14817860 17781432 22226790 26672148 29635720 33340185 35562864 44453580 53344296 59271440 66680370 88907160 106688592 133360740 177814320 266721480 533442960