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664646272 = 2723401563
BaseRepresentation
bin100111100111011…
…011001010000000
31201022122112021121
4213213123022000
52330122140042
6145541402024
722320254143
oct4747331200
91638575247
10664646272
113111a2644
12166709314
13a7911624
14643b405a
153d53c367
hex279db280

664646272 has 64 divisors (see below), whose sum is σ = 1387575360. Its totient is φ = 316518400.

The previous prime is 664646267. The next prime is 664646287. The reversal of 664646272 is 272646466.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1180263 + ... + 1180825.

It is an arithmetic number, because the mean of its divisors is an integer number (21680865).

Almost surely, 2664646272 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 664646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693787680).

664646272 is an abundant number, since it is smaller than the sum of its proper divisors (722929088).

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

664646272 is a wasteful number, since it uses less digits than its factorization.

664646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its digits is 580608, while the sum is 43.

The square root of 664646272 is about 25780.7345124223. The cubic root of 664646272 is about 872.6970830887.

The spelling of 664646272 in words is "six hundred sixty-four million, six hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 401 563 736 802 1126 1472 1604 2252 2944 3208 4504 6416 9008 9223 12832 12949 18016 18446 25664 25898 36032 36892 51328 51796 72064 73784 103592 147568 207184 225763 295136 414368 451526 590272 828736 903052 1180544 1657472 1806104 3612208 5192549 7224416 10385098 14448832 20770196 28897664 41540392 83080784 166161568 332323136 664646272