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870285248 = 2672777013
BaseRepresentation
bin110011110111110…
…111111111000000
32020122121001220222
4303313313333000
53240243111443
6222205122212
730365205530
oct6367677700
92218531828
10870285248
11407287208
12203559368
1310b3c14b1
14838234c0
155160c468
hex33df7fc0

870285248 has 56 divisors (see below), whose sum is σ = 1981090272. Its totient is φ = 371579904.

The previous prime is 870285187. The next prime is 870285257. The reversal of 870285248 is 842582078.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 870285199 and 870285208.

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, 120590 + ... + 127602.

It is an arithmetic number, because the mean of its divisors is an integer number (35376612).

Almost surely, 2870285248 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 870285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990545136).

870285248 is an abundant number, since it is smaller than the sum of its proper divisors (1110805024).

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

870285248 is a wasteful number, since it uses less digits than its factorization.

870285248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The square root of 870285248 is about 29500.5974176795. The cubic root of 870285248 is about 954.7445925730.

The spelling of 870285248 in words is "eight hundred seventy million, two hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 277 448 554 1108 1939 2216 3878 4432 7013 7756 8864 14026 15512 17728 28052 31024 49091 56104 62048 98182 112208 124096 196364 224416 392728 448832 785456 1570912 1942601 3141824 3885202 7770404 13598207 15540808 27196414 31081616 54392828 62163232 108785656 124326464 217571312 435142624 870285248