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64469664 = 25327113283
BaseRepresentation
bin1111010111101…
…1101010100000
311111022101202100
43311323222200
5113001012124
610221450400
71411661130
oct365735240
9144271670
1064469664
1133434016
1219710a00
131048353c
1487c2ac0
1559d71c9
hex3d7baa0

64469664 has 144 divisors (see below), whose sum is σ = 212127552. Its totient is φ = 18192384.

The previous prime is 64469659. The next prime is 64469701. The reversal of 64469664 is 46696446.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 227667 + ... + 227949.

It is an arithmetic number, because the mean of its divisors is an integer number (1473108).

Almost surely, 264469664 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 64469664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106063776).

64469664 is an abundant number, since it is smaller than the sum of its proper divisors (147657888).

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

64469664 is a wasteful number, since it uses less digits than its factorization.

64469664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 64469664 is about 8029.3003431183. The cubic root of 64469664 is about 400.9760828848.

It can be divided in two parts, 6446 and 9664, that added together give a triangular number (16110 = T179).

The spelling of 64469664 in words is "sixty-four million, four hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 113 126 144 168 224 226 252 283 288 336 339 452 504 566 672 678 791 849 904 1008 1017 1132 1356 1582 1698 1808 1981 2016 2034 2264 2373 2547 2712 3164 3396 3616 3962 4068 4528 4746 5094 5424 5943 6328 6792 7119 7924 8136 9056 9492 10188 10848 11886 12656 13584 14238 15848 16272 17829 18984 20376 23772 25312 27168 28476 31696 31979 32544 35658 37968 40752 47544 56952 63392 63958 71316 75936 81504 95088 95937 113904 127916 142632 190176 191874 223853 227808 255832 285264 287811 383748 447706 511664 570528 575622 671559 767496 895412 1023328 1151244 1343118 1534992 1790824 2014677 2302488 2686236 3069984 3581648 4029354 4604976 5372472 7163296 8058708 9209952 10744944 16117416 21489888 32234832 64469664