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531285440 = 26572311093
BaseRepresentation
bin11111101010101…
…100010111000000
31101000201002121112
4133222230113000
52042002113230
6124415142452
716110565100
oct3752542700
91330632545
10531285440
11252995684
12129b14a28
13860ba1aa
14507bb200
1531997d95
hex1faac5c0

531285440 has 168 divisors, whose sum is σ = 1520537472. Its totient is φ = 176117760.

The previous prime is 531285437. The next prime is 531285463. The reversal of 531285440 is 44582135.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 531285397 and 531285406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485534 + ... + 486626.

Almost surely, 2531285440 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 531285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760268736).

531285440 is an abundant number, since it is smaller than the sum of its proper divisors (989252032).

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

531285440 is a wasteful number, since it uses less digits than its factorization.

531285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 531285440 is about 23049.6299319534. The cubic root of 531285440 is about 809.9209596196.

The spelling of 531285440 in words is "five hundred thirty-one million, two hundred eighty-five thousand, four hundred forty".