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868072704 = 2834724049
BaseRepresentation
bin110011101111011…
…011110100000000
32020111102122212220
4303233123310000
53234211311304
6222045451040
730340332132
oct6357336400
92214378786
10868072704
11406005964
12202870a80
1310aac83b5
1483409052
1551321ad9
hex33bdbd00

868072704 has 72 divisors (see below), whose sum is σ = 2359593600. Its totient is φ = 283189248.

The previous prime is 868072669. The next prime is 868072721. The reversal of 868072704 is 407270868.

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, 24072 + ... + 48120.

Almost surely, 2868072704 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 868072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179796800).

868072704 is an abundant number, since it is smaller than the sum of its proper divisors (1491520896).

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

868072704 is a wasteful number, since it uses less digits than its factorization.

868072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24115 (or 24101 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 868072704 is about 29463.0735667547. The cubic root of 868072704 is about 953.9348170417.

The spelling of 868072704 in words is "eight hundred sixty-eight million, seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4512 6016 9024 12032 18048 24049 36096 48098 72147 96196 144294 192392 288588 384784 577176 769568 1130303 1154352 1539136 2260606 2308704 3078272 3390909 4521212 4617408 6156544 6781818 9042424 9234816 13563636 18084848 18469632 27127272 36169696 54254544 72339392 108509088 144678784 217018176 289357568 434036352 868072704