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545954640 = 243571131953
BaseRepresentation
bin100000100010101…
…001101101010000
31102001022100222020
4200202221231100
52104231022030
6130101411440
716346352330
oct4042515520
91361270866
10545954640
112601a4890
12132a09b80
13891550aa
14527190c0
1532de4510
hex208a9b50

545954640 has 320 divisors, whose sum is σ = 2180431872. Its totient is φ = 109670400.

The previous prime is 545954639. The next prime is 545954653. The reversal of 545954640 is 46459545.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 545954592 and 545954601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572404 + ... + 573356.

Almost surely, 2545954640 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 545954640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090215936).

545954640 is an abundant number, since it is smaller than the sum of its proper divisors (1634477232).

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

545954640 is a wasteful number, since it uses less digits than its factorization.

545954640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 545954640 is about 23365.6722565391. The cubic root of 545954640 is about 817.3075681700.

The spelling of 545954640 in words is "five hundred forty-five million, nine hundred fifty-four thousand, six hundred forty".