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531382100 = 22525313821
BaseRepresentation
bin11111101011000…
…011111101010100
31101000220000012112
4133223003331110
52042013211400
6124421210152
716111446644
oct3753037524
91330800175
10531382100
11252a51267
12129b60958
13861221a2
1450804524
15319b6835
hex1fac3f54

531382100 has 18 divisors (see below), whose sum is σ = 1153099374. Its totient is φ = 212552800.

The previous prime is 531382091. The next prime is 531382151. The reversal of 531382100 is 1283135.

It can be written as a sum of positive squares in 3 ways, for example, as 7246864 + 524135236 = 2692^2 + 22894^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2656811 + ... + 2657010.

Almost surely, 2531382100 is an apocalyptic number.

531382100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531382100 is an abundant number, since it is smaller than the sum of its proper divisors (621717274).

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

531382100 is a wasteful number, since it uses less digits than its factorization.

531382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313835 (or 5313828 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 531382100 is about 23051.7266164598. The cubic root of 531382100 is about 809.9700745943.

The spelling of 531382100 in words is "five hundred thirty-one million, three hundred eighty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5313821 10627642 21255284 26569105 53138210 106276420 132845525 265691050 531382100