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868979072 = 27132172139
BaseRepresentation
bin110011110010111…
…001000110000000
32020120010201012002
4303302321012000
53234424312242
6222121123132
730351125453
oct6362710600
92216121162
10868979072
11406574925
122030294a8
1310b054b00
14835a349a
1551450432
hex33cb9180

868979072 has 144 divisors (see below), whose sum is σ = 2005661700. Its totient is φ = 374759424.

The previous prime is 868979047. The next prime is 868979087. The reversal of 868979072 is 270979868.

It is a junction number, because it is equal to n+sod(n) for n = 868978999 and 868979017.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 6251579 + ... + 6251717.

Almost surely, 2868979072 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 868979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002830850).

868979072 is an abundant number, since it is smaller than the sum of its proper divisors (1136682628).

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

868979072 is a wasteful number, since it uses less digits than its factorization.

868979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 56.

The square root of 868979072 is about 29478.4509769425. The cubic root of 868979072 is about 954.2667075401.

The spelling of 868979072 in words is "eight hundred sixty-eight million, nine hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 139 169 208 221 272 278 289 338 416 442 544 556 578 676 832 884 1088 1112 1156 1352 1664 1768 1807 2176 2224 2312 2363 2704 2873 3536 3614 3757 4448 4624 4726 5408 5746 7072 7228 7514 8896 9248 9452 10816 11492 14144 14456 15028 17792 18496 18904 21632 22984 23491 28288 28912 30056 30719 36992 37808 40171 45968 46982 48841 57824 60112 61438 75616 80342 91936 93964 97682 115648 120224 122876 151232 160684 183872 187928 195364 231296 240448 245752 302464 321368 367744 375856 390728 399347 480896 491504 522223 642736 751712 781456 798694 983008 1044446 1285472 1503424 1562912 1597388 1966016 2088892 2570944 3006848 3125824 3194776 3932032 4177784 5141888 6251648 6389552 6788899 8355568 12779104 13577798 16711136 25558208 27155596 33422272 51116416 54311192 66844544 108622384 217244768 434489536 868979072