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675432576 = 273271317379
BaseRepresentation
bin101000010000100…
…100100010000000
31202001221112022100
4220100210202000
52340402320301
6151004510400
722511040120
oct5020444200
91661845270
10675432576
1131729a545
1216a24b400
13a9c1a060
14659c0c80
153e46d286
hex28424880

675432576 has 384 divisors, whose sum is σ = 2539555200. Its totient is φ = 167215104.

The previous prime is 675432547. The next prime is 675432581. The reversal of 675432576 is 675234576.

675432576 is a `hidden beast` number, since 6 + 75 + 4 + 3 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1781955 + ... + 1782333.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2675432576 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 675432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

675432576 is an abundant number, since it is smaller than the sum of its proper divisors (1864122624).

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

675432576 is a wasteful number, since it uses less digits than its factorization.

675432576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 675432576 is about 25989.0857091972. The cubic root of 675432576 is about 877.3926681004.

The spelling of 675432576 in words is "six hundred seventy-five million, four hundred thirty-two thousand, five hundred seventy-six".