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64993856 = 2617314147
BaseRepresentation
bin1111011111101…
…1101001000000
311112022000210212
43313323221000
5113114300411
610241013252
71416303314
oct367735100
9145260725
1064993856
1133761934
1219924228
1310608005
1488bbb44
155a8c68b
hex3dfba40

64993856 has 112 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 28262400.

The previous prime is 64993849. The next prime is 64993879. The reversal of 64993856 is 65839946.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382825 + ... + 1382871.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 264993856 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 64993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

64993856 is an abundant number, since it is smaller than the sum of its proper divisors (82480576).

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

64993856 is a wasteful number, since it uses less digits than its factorization.

64993856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 50.

The square root of 64993856 is about 8061.8767045893. The cubic root of 64993856 is about 402.0599070807.

The spelling of 64993856 in words is "sixty-four million, nine hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 41 47 62 64 68 82 94 124 136 164 188 248 272 328 376 496 527 544 656 697 752 799 992 1054 1088 1271 1312 1394 1457 1504 1598 1927 1984 2108 2542 2624 2788 2914 3008 3196 3854 4216 5084 5576 5828 6392 7708 8432 10168 11152 11656 12784 15416 16864 20336 21607 22304 23312 24769 25568 30832 32759 33728 40672 43214 44608 46624 49538 51136 59737 61664 65518 81344 86428 93248 99076 119474 123328 131036 172856 198152 238948 262072 345712 396304 477896 524144 691424 792608 955792 1015529 1048288 1382848 1585216 1911584 2031058 2096576 3823168 4062116 8124232 16248464 32496928 64993856