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535001540 = 225260910253
BaseRepresentation
bin11111111000110…
…111100111000100
31101021200220010212
4133320313213010
52043430022130
6125030534552
716154303153
oct3770674704
91337626125
10535001540
11254aa3637
1212b207458
1386abb778
14510a759a
1531e7de95
hex1fe379c4

535001540 has 24 divisors (see below), whose sum is σ = 1124043480. Its totient is φ = 213897728.

The previous prime is 535001531. The next prime is 535001549. The reversal of 535001540 is 45100535.

It is an interprime number because it is at equal distance from previous prime (535001531) and next prime (535001549).

It can be written as a sum of positive squares in 4 ways, for example, as 4804864 + 530196676 = 2192^2 + 23026^2 .

It is not an unprimeable number, because it can be changed into a prime (535001549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47054 + ... + 57306.

It is an arithmetic number, because the mean of its divisors is an integer number (46835145).

Almost surely, 2535001540 is an apocalyptic number.

It is an amenable number.

535001540 is an abundant number, since it is smaller than the sum of its proper divisors (589041940).

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

535001540 is a wasteful number, since it uses less digits than its factorization.

535001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12871 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 535001540 is about 23130.1003024198. The cubic root of 535001540 is about 811.8049168565.

The spelling of 535001540 in words is "five hundred thirty-five million, one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2609 5218 10253 10436 13045 20506 26090 41012 51265 52180 102530 205060 26750077 53500154 107000308 133750385 267500770 535001540