Search a number
-
+
64836096 = 2931317191
BaseRepresentation
bin1111011101010…
…1001000000000
311112000000101220
43313111020000
5113044223341
610233355040
71415045343
oct367251000
9145000356
1064836096
1133664356
1219868a80
1310581270
14887a45a
155a5aa66
hex3dd5200

64836096 has 160 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 18677760.

The previous prime is 64836091. The next prime is 64836137. The reversal of 64836096 is 69063846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64836091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339361 + ... + 339551.

Almost surely, 264836096 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 64836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

64836096 is an abundant number, since it is smaller than the sum of its proper divisors (133151232).

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

64836096 is a wasteful number, since it uses less digits than its factorization.

64836096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 64836096 is about 8052.0864376881. The cubic root of 64836096 is about 401.7343359951.

The spelling of 64836096 in words is "sixty-four million, eight hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 191 192 204 208 221 256 272 312 382 384 408 416 442 512 544 573 624 663 764 768 816 832 884 1088 1146 1248 1326 1528 1536 1632 1664 1768 2176 2292 2483 2496 2652 3056 3247 3264 3328 3536 4352 4584 4966 4992 5304 6112 6494 6528 6656 7072 7449 8704 9168 9741 9932 9984 10608 12224 12988 13056 14144 14898 18336 19482 19864 19968 21216 24448 25976 26112 28288 29796 36672 38964 39728 42211 42432 48896 51952 56576 59592 73344 77928 79456 84422 84864 97792 103904 113152 119184 126633 146688 155856 158912 168844 169728 207808 238368 253266 293376 311712 317824 337688 339456 415616 476736 506532 623424 635648 675376 831232 953472 1013064 1246848 1271296 1350752 1662464 1906944 2026128 2493696 2701504 3813888 4052256 4987392 5403008 8104512 10806016 16209024 21612032 32418048 64836096