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675430656 = 2833312657
BaseRepresentation
bin101000010000100…
…100000100000000
31202001221102200020
4220100210010000
52340402240111
6151004453440
722511031405
oct5020440400
91661842606
10675430656
1131729905a
1216a24a280
13a9c19214
14659c02ac
153e46c906
hex28424100

675430656 has 72 divisors (see below), whose sum is σ = 1803740064. Its totient is φ = 224378880.

The previous prime is 675430649. The next prime is 675430663. The reversal of 675430656 is 656034576.

It is an interprime number because it is at equal distance from previous prime (675430649) and next prime (675430663).

It is a super-4 number, since 4×6754306564 (a number of 36 digits) contains 4444 as substring.

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, 252880 + ... + 255536.

Almost surely, 2675430656 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 675430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901870032).

675430656 is an abundant number, since it is smaller than the sum of its proper divisors (1128309408).

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

675430656 is a wasteful number, since it uses less digits than its factorization.

675430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 675430656 is about 25989.0487705880. The cubic root of 675430656 is about 877.3918367342.

The spelling of 675430656 in words is "six hundred seventy-five million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 331 384 662 768 993 1324 1986 2648 2657 3972 5296 5314 7944 7971 10592 10628 15888 15942 21184 21256 31776 31884 42368 42512 63552 63768 84736 85024 127104 127536 170048 254208 255072 340096 510144 680192 879467 1020288 1758934 2040576 2638401 3517868 5276802 7035736 10553604 14071472 21107208 28142944 42214416 56285888 84428832 112571776 168857664 225143552 337715328 675430656