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864104528 = 24761791601
BaseRepresentation
bin110011100000010…
…011000001010000
32020012222001120102
4303200103001100
53232202321103
6221424431532
730261524120
oct6340230120
92205861512
10864104528
11403845581
122014785a8
1310a039171
1482a94c80
1550cdae88
hex33813050

864104528 has 80 divisors (see below), whose sum is σ = 1970588160. Its totient is φ = 359424000.

The previous prime is 864104513. The next prime is 864104531. The reversal of 864104528 is 825401468.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 864104491 and 864104500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538928 + ... + 540528.

It is an arithmetic number, because the mean of its divisors is an integer number (24632352).

Almost surely, 2864104528 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 864104528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985294080).

864104528 is an abundant number, since it is smaller than the sum of its proper divisors (1106483632).

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

864104528 is a wasteful number, since it uses less digits than its factorization.

864104528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 864104528 is about 29395.6549170111. The cubic root of 864104528 is about 952.4790388583.

The spelling of 864104528 in words is "eight hundred sixty-four million, one hundred four thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 61 79 112 122 158 244 316 427 488 553 632 854 976 1106 1264 1601 1708 2212 3202 3416 4424 4819 6404 6832 8848 9638 11207 12808 19276 22414 25616 33733 38552 44828 67466 77104 89656 97661 126479 134932 179312 195322 252958 269864 390644 505916 539728 683627 781288 885353 1011832 1367254 1562576 1770706 2023664 2734508 3541412 5469016 7082824 7715219 10938032 14165648 15430438 30860876 54006533 61721752 108013066 123443504 216026132 432052264 864104528