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64289568 = 2537279173
BaseRepresentation
bin1111010100111…
…1101100100000
311110222020201010
43311033230200
5112424231233
610213540520
71410311100
oct365175440
9143866633
1064289568
1133320782
1219644740
131041c585
148777200
15599db63
hex3d4fb20

64289568 has 144 divisors (see below), whose sum is σ = 199946880. Its totient is φ = 18031104.

The previous prime is 64289543. The next prime is 64289581. The reversal of 64289568 is 86598246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371530 + ... + 371702.

It is an arithmetic number, because the mean of its divisors is an integer number (1388520).

Almost surely, 264289568 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 64289568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99973440).

64289568 is an abundant number, since it is smaller than the sum of its proper divisors (135657312).

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

64289568 is a wasteful number, since it uses less digits than its factorization.

64289568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 64289568 is about 8018.0775750800. The cubic root of 64289568 is about 400.6023591201.

The spelling of 64289568 in words is "sixty-four million, two hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 79 84 96 98 112 147 158 168 173 196 224 237 294 316 336 346 392 474 519 553 588 632 672 692 784 948 1038 1106 1176 1211 1264 1384 1568 1659 1896 2076 2212 2352 2422 2528 2768 3318 3633 3792 3871 4152 4424 4704 4844 5536 6636 7266 7584 7742 8304 8477 8848 9688 11613 13272 13667 14532 15484 16608 16954 17696 19376 23226 25431 26544 27334 29064 30968 33908 38752 41001 46452 50862 53088 54668 58128 61936 67816 82002 92904 95669 101724 109336 116256 123872 135632 164004 185808 191338 203448 218672 271264 287007 328008 371616 382676 406896 437344 574014 656016 669683 765352 813792 1148028 1312032 1339366 1530704 2009049 2296056 2678732 3061408 4018098 4592112 5357464 8036196 9184224 10714928 16072392 21429856 32144784 64289568