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675405536 = 25132835737
BaseRepresentation
bin101000010000011…
…101111011100000
31202001220011012212
4220100131323200
52340400434121
6151004141252
722510565231
oct5020357340
91661804185
10675405536
113172811a3
1216a237828
13a9c0a960
14659b5088
153e46525b
hex2841dee0

675405536 has 48 divisors (see below), whose sum is σ = 1437300144. Its totient is φ = 310569984.

The previous prime is 675405517. The next prime is 675405547. The reversal of 675405536 is 635504576.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 675405493 and 675405502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114860 + ... + 120596.

It is an arithmetic number, because the mean of its divisors is an integer number (29943753).

Almost surely, 2675405536 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 675405536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718650072).

675405536 is an abundant number, since it is smaller than the sum of its proper divisors (761894608).

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

675405536 is a wasteful number, since it uses less digits than its factorization.

675405536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 41.

The square root of 675405536 is about 25988.5654856131. The cubic root of 675405536 is about 877.3809595474.

The spelling of 675405536 in words is "six hundred seventy-five million, four hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 283 416 566 1132 2264 3679 4528 5737 7358 9056 11474 14716 22948 29432 45896 58864 74581 91792 117728 149162 183584 298324 596648 1193296 1623571 2386592 3247142 6494284 12988568 21106423 25977136 42212846 51954272 84425692 168851384 337702768 675405536