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4280864 = 25729659
BaseRepresentation
bin10000010101001000100000
322001111020112
4100111020200
52043441424
6231430452
751246440
oct20251040
98044215
104280864
112464305
121525428
13b6b673
147d6120
1559860e
hex415220

4280864 has 48 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1768704.

The previous prime is 4280827. The next prime is 4280873. The reversal of 4280864 is 4680824.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4280864.

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, 6167 + ... + 6825.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 24280864 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 4280864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

4280864 is an abundant number, since it is smaller than the sum of its proper divisors (5698336).

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

4280864 is a wasteful number, since it uses less digits than its factorization.

4280864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4280864 is about 2069.0248911021. The cubic root of 4280864 is about 162.3717520655.

The spelling of 4280864 in words is "four million, two hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 659 812 928 1318 1624 2636 3248 4613 5272 6496 9226 10544 18452 19111 21088 36904 38222 73808 76444 133777 147616 152888 267554 305776 535108 611552 1070216 2140432 4280864