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531413136 = 24344173137
BaseRepresentation
bin11111101011001…
…011100010010000
31101000221120210000
4133223023202100
52042020210021
6124422010000
716111636302
oct3753134220
91330846700
10531413136
11252a72611
12129b76900
1386133357
1450811972
15319c0b26
hex1facb890

531413136 has 200 divisors, whose sum is σ = 1608818904. Its totient is φ = 169205760.

The previous prime is 531413111. The next prime is 531413167. The reversal of 531413136 is 631314135.

It can be written as a sum of positive squares in 4 ways, for example, as 18662400 + 512750736 = 4320^2 + 22644^2 .

It is a super-2 number, since 2×5314131362 = 564799842226708992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3878860 + ... + 3878996.

Almost surely, 2531413136 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 531413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804409452).

531413136 is an abundant number, since it is smaller than the sum of its proper divisors (1077405768).

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

531413136 is a wasteful number, since it uses less digits than its factorization.

531413136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 531413136 is about 23052.3997883084. The cubic root of 531413136 is about 809.9858433740.

Subtracting 531413136 from its reverse (631314135), we obtain a palindrome (99900999).

The spelling of 531413136 in words is "five hundred thirty-one million, four hundred thirteen thousand, one hundred thirty-six".