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664897728 = 26311833793
BaseRepresentation
bin100111101000011…
…000100011000000
31201100010022012210
4213220120203000
52330203211403
6145551022120
722322352225
oct4750304300
91640108183
10664897728
11311354560
1216680a940
13a799bc11
146443b94c
153d58bb03
hex27a188c0

664897728 has 112 divisors (see below), whose sum is σ = 1942770816. Its totient is φ = 199004160.

The previous prime is 664897721. The next prime is 664897741. The reversal of 664897728 is 827798466.

It is not an unprimeable number, because it can be changed into a prime (664897721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173400 + ... + 177192.

It is an arithmetic number, because the mean of its divisors is an integer number (17346168).

Almost surely, 2664897728 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 664897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971385408).

664897728 is an abundant number, since it is smaller than the sum of its proper divisors (1277873088).

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

664897728 is a wasteful number, since it uses less digits than its factorization.

664897728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3892 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 664897728 is about 25785.6108711816. The cubic root of 664897728 is about 872.8071252061.

The spelling of 664897728 in words is "six hundred sixty-four million, eight hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 332 352 498 528 664 704 913 996 1056 1328 1826 1992 2112 2656 2739 3652 3793 3984 5312 5478 7304 7586 7968 10956 11379 14608 15172 15936 21912 22758 29216 30344 41723 43824 45516 58432 60688 83446 87648 91032 121376 125169 166892 175296 182064 242752 250338 314819 333784 364128 500676 629638 667568 728256 944457 1001352 1259276 1335136 1888914 2002704 2518552 2670272 3463009 3777828 4005408 5037104 6926018 7555656 8010816 10074208 10389027 13852036 15111312 20148416 20778054 27704072 30222624 41556108 55408144 60445248 83112216 110816288 166224432 221632576 332448864 664897728