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537271416 = 2332113179277
BaseRepresentation
bin100000000001100…
…001110001111000
31101102222012211100
4200001201301320
52100020141131
6125151331400
716212505653
oct4001416170
91342865740
10537271416
11256303a70
1212bb20b60
13874049a6
14514d889a
153227b7e6
hex20061c78

537271416 has 192 divisors, whose sum is σ = 1665331200. Its totient is φ = 155001600.

The previous prime is 537271411. The next prime is 537271477. The reversal of 537271416 is 614172735.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537271411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1939470 + ... + 1939746.

It is an arithmetic number, because the mean of its divisors is an integer number (8673600).

Almost surely, 2537271416 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 537271416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832665600).

537271416 is an abundant number, since it is smaller than the sum of its proper divisors (1128059784).

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

537271416 is a wasteful number, since it uses less digits than its factorization.

537271416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 537271416 is about 23179.1159451779. The cubic root of 537271416 is about 812.9513911834.

It can be divided in two parts, 537 and 271416, that added together give a triangular number (271953 = T737).

The spelling of 537271416 in words is "five hundred thirty-seven million, two hundred seventy-one thousand, four hundred sixteen".