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855478272 = 2123116329
BaseRepresentation
bin110010111111011…
…001000000000000
32012121201210120110
4302333121000000
53223000301042
6220515511320
730125305515
oct6277310000
92177653513
10855478272
113a9993540
121ba5b8540
1310830897c
148188b30c
155018509c
hex32fd9000

855478272 has 104 divisors (see below), whose sum is σ = 2488753440. Its totient is φ = 259194880.

The previous prime is 855478271. The next prime is 855478289. The reversal of 855478272 is 272874558.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (855478271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132004 + ... + 138332.

Almost surely, 2855478272 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 855478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244376720).

855478272 is an abundant number, since it is smaller than the sum of its proper divisors (1633275168).

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

855478272 is a wasteful number, since it uses less digits than its factorization.

855478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6345 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 855478272 is about 29248.5601696904. The cubic root of 855478272 is about 949.2989368789.

The spelling of 855478272 in words is "eight hundred fifty-five million, four hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 6329 8448 11264 12288 12658 16896 18987 22528 25316 33792 37974 45056 50632 67584 69619 75948 101264 135168 139238 151896 202528 208857 278476 303792 405056 417714 556952 607584 810112 835428 1113904 1215168 1620224 1670856 2227808 2430336 3240448 3341712 4455616 4860672 6480896 6683424 8911232 9721344 12961792 13366848 17822464 19442688 25923584 26733696 35644928 38885376 53467392 71289856 77770752 106934784 142579712 213869568 285159424 427739136 855478272