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64887368 = 23731317107
BaseRepresentation
bin1111011110000…
…1101001001000
311112002121201212
43313201221020
5113102343433
610234432252
71415351000
oct367415110
9145077655
1064887368
1133699927
1219892688
131059b6c0
148891000
155a6ad48
hex3de1a48

64887368 has 128 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 23933952.

The previous prime is 64887343. The next prime is 64887391. The reversal of 64887368 is 86378846.

It is a happy number.

64887368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606371 + ... + 606477.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 264887368 is an apocalyptic number.

64887368 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64887368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

64887368 is an abundant number, since it is smaller than the sum of its proper divisors (98408632).

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

64887368 is a wasteful number, since it uses less digits than its factorization.

64887368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 64887368 is about 8055.2695795982. The cubic root of 64887368 is about 401.8402044696.

The spelling of 64887368 in words is "sixty-four million, eight hundred eighty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 107 119 136 182 196 214 221 238 343 364 392 428 442 476 637 686 728 749 833 856 884 952 1274 1372 1391 1498 1547 1666 1768 1819 2548 2744 2782 2996 3094 3332 3638 4459 5096 5243 5564 5831 5992 6188 6664 7276 8918 9737 10486 10829 11128 11662 12376 12733 14552 17836 19474 20972 21658 23324 23647 25466 35672 36701 38948 41944 43316 46648 47294 50932 68159 73402 75803 77896 86632 89131 94588 101864 136318 146804 151606 165529 178262 189176 272636 293608 303212 331058 356524 477113 545272 606424 623917 662116 713048 954226 1158703 1247834 1324232 1908452 2317406 2495668 3816904 4634812 4991336 8110921 9269624 16221842 32443684 64887368