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664029828 = 2232711421569
BaseRepresentation
bin100111100101000…
…100101010000100
31201021111012200100
4213211010222010
52324442423303
6145520244100
722312106010
oct4745045204
91637435610
10664029828
11310911490
12166470630
13a7756b77
1464293540
153d4698a3
hex27944a84

664029828 has 144 divisors (see below), whose sum is σ = 2101357440. Its totient is φ = 171763200.

The previous prime is 664029811. The next prime is 664029833. The reversal of 664029828 is 828920466.

It is a super-2 number, since 2×6640298282 = 881871224947419168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1166728 + ... + 1167296.

It is an arithmetic number, because the mean of its divisors is an integer number (14592760).

Almost surely, 2664029828 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 664029828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050678720).

664029828 is an abundant number, since it is smaller than the sum of its proper divisors (1437327612).

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

664029828 is a wasteful number, since it uses less digits than its factorization.

664029828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 664029828 is about 25768.7762223975. The cubic root of 664029828 is about 872.4271975335.

The spelling of 664029828 in words is "six hundred sixty-four million, twenty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 421 462 569 693 842 924 1138 1263 1386 1684 1707 2276 2526 2772 2947 3414 3789 3983 4631 5052 5121 5894 6259 6828 7578 7966 8841 9262 10242 11788 11949 12518 13893 15156 15932 17682 18524 18777 20484 23898 25036 26523 27786 32417 35364 35847 37554 41679 43813 47796 53046 55572 56331 64834 71694 75108 83358 87626 97251 106092 112662 129668 131439 143388 166716 175252 194502 225324 239549 262878 291753 389004 394317 479098 525756 583506 718647 788634 958196 1167012 1437294 1577268 1676843 2155941 2635039 2874588 3353686 4311882 5030529 5270078 6707372 7905117 8623764 10061058 10540156 15091587 15810234 18445273 20122116 23715351 30183174 31620468 36890546 47430702 55335819 60366348 73781092 94861404 110671638 166007457 221343276 332014914 664029828