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868049152 = 2819317569
BaseRepresentation
bin110011101111010…
…110000100000000
32020111101110120121
4303233112010000
53234210033102
6222045150024
730340203355
oct6357260400
92214343517
10868049152
11405a9a1a3
1220285b314
1310aaba769
148340062c
1551319b37
hex33bd6100

868049152 has 36 divisors (see below), whose sum is σ = 1741784380. Its totient is φ = 431751168.

The previous prime is 868049137. The next prime is 868049153. The reversal of 868049152 is 251940868.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 778633216 = 9456^2 + 27904^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 868049099 and 868049108.

It is not an unprimeable number, because it can be changed into a prime (868049153) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 40624 + ... + 58192.

Almost surely, 2868049152 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 868049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870892190).

868049152 is an abundant number, since it is smaller than the sum of its proper divisors (873735228).

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

868049152 is a wasteful number, since it uses less digits than its factorization.

868049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17778 (or 17764 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 868049152 is about 29462.6738772977. The cubic root of 868049152 is about 953.9261897781.

The spelling of 868049152 in words is "eight hundred sixty-eight million, forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 772 1544 3088 6176 12352 17569 24704 35138 49408 70276 140552 281104 562208 1124416 2248832 3390817 4497664 6781634 13563268 27126536 54253072 108506144 217012288 434024576 868049152