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860313152 = 26171017829
BaseRepresentation
bin110011010001110…
…101011001000000
32012221211102210002
4303101311121000
53230220010102
6221211255132
730214353416
oct6321653100
92187742702
10860313152
11401696006
1220014a4a8
1310930c54a
14823892b6
15507dc902
hex33475640

860313152 has 56 divisors (see below), whose sum is σ = 1825736760. Its totient is φ = 400793600.

The previous prime is 860313149. The next prime is 860313163. The reversal of 860313152 is 251313068.

It can be written as a sum of positive squares in 4 ways, for example, as 295014976 + 565298176 = 17176^2 + 23776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105974 + ... + 113802.

Almost surely, 2860313152 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 860313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912868380).

860313152 is an abundant number, since it is smaller than the sum of its proper divisors (965423608).

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

860313152 is a wasteful number, since it uses less digits than its factorization.

860313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 860313152 is about 29331.0953085629. The cubic root of 860313152 is about 951.0839527640.

The spelling of 860313152 in words is "eight hundred sixty million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 404 544 808 1088 1616 1717 3232 3434 6464 6868 7829 13736 15658 27472 31316 54944 62632 109888 125264 133093 250528 266186 501056 532372 790729 1064744 1581458 2129488 3162916 4258976 6325832 8517952 12651664 13442393 25303328 26884786 50606656 53769572 107539144 215078288 430156576 860313152