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675331328 = 28737691
BaseRepresentation
bin101000010000001…
…011110100000000
31202001202101102102
4220100023310000
52340341100303
6151002405532
722510136000
oct5020136400
91661671372
10675331328
11317230471
1216a2008a8
13a9bb2c49
1465996000
153e44d288
hex2840bd00

675331328 has 72 divisors (see below), whose sum is σ = 1572244800. Its totient is φ = 289390080.

The previous prime is 675331309. The next prime is 675331333. The reversal of 675331328 is 823133576.

It is a junction number, because it is equal to n+sod(n) for n = 675331291 and 675331300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83963 + ... + 91653.

Almost surely, 2675331328 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 675331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786122400).

675331328 is an abundant number, since it is smaller than the sum of its proper divisors (896913472).

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

675331328 is an frugal number, since it uses more digits than its factorization.

675331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7700 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 675331328 is about 25987.1377415829. The cubic root of 675331328 is about 877.3488252382.

The spelling of 675331328 in words is "six hundred seventy-five million, three hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2744 3136 5488 6272 7691 10976 12544 15382 21952 30764 43904 53837 61528 87808 107674 123056 215348 246112 376859 430696 492224 753718 861392 984448 1507436 1722784 1968896 2638013 3014872 3445568 5276026 6029744 6891136 10552052 12059488 13782272 21104104 24118976 42208208 48237952 84416416 96475904 168832832 337665664 675331328