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537469632 = 263272137139
BaseRepresentation
bin100000000010010…
…010001011000000
31101110100021201200
4200002102023000
52100043012012
6125155501200
716214262600
oct4002221300
91343307650
10537469632
11256429987
1212bbb7800
1387473c8b
145154ac00
15322ba3dc
hex200922c0

537469632 has 252 divisors, whose sum is σ = 1818147240. Its totient is φ = 151345152.

The previous prime is 537469631. The next prime is 537469633. The reversal of 537469632 is 236964735.

537469632 is a `hidden beast` number, since 5 + 3 + 7 + 4 + 6 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (537469631) and next prime (537469633).

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (816480) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (537469631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3866619 + ... + 3866757.

It is an arithmetic number, because the mean of its divisors is an integer number (7214870).

Almost surely, 2537469632 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 537469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909073620).

537469632 is an abundant number, since it is smaller than the sum of its proper divisors (1280677608).

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

537469632 is a wasteful number, since it uses less digits than its factorization.

537469632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 537469632 is about 23183.3912963570. The cubic root of 537469632 is about 813.0513531738.

The spelling of 537469632 in words is "five hundred thirty-seven million, four hundred sixty-nine thousand, six hundred thirty-two".