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64908768 = 2537189107
BaseRepresentation
bin1111011110011…
…0110111100000
311112010201002110
43313212313200
5113104040033
610235115320
71415500251
oct367466740
9145121073
1064908768
1133703a11
12198a2b40
13105a8372
148898b28
155a72363
hex3de6de0

64908768 has 96 divisors (see below), whose sum is σ = 176359680. Its totient is φ = 20894720.

The previous prime is 64908763. The next prime is 64908773. The reversal of 64908768 is 86780946.

It is an interprime number because it is at equal distance from previous prime (64908763) and next prime (64908773).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64908763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606571 + ... + 606677.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 264908768 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 64908768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

64908768 is an abundant number, since it is smaller than the sum of its proper divisors (111450912).

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

64908768 is a wasteful number, since it uses less digits than its factorization.

64908768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 64908768 is about 8056.5977931134. The cubic root of 64908768 is about 401.8843755487.

The spelling of 64908768 in words is "sixty-four million, nine hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 89 96 107 142 178 213 214 267 284 321 356 426 428 534 568 642 712 852 856 1068 1136 1284 1424 1704 1712 2136 2272 2568 2848 3408 3424 4272 5136 6319 6816 7597 8544 9523 10272 12638 15194 18957 19046 22791 25276 28569 30388 37914 38092 45582 50552 57138 60776 75828 76184 91164 101104 114276 121552 151656 152368 182328 202208 228552 243104 303312 304736 364656 457104 606624 676133 729312 914208 1352266 2028399 2704532 4056798 5409064 8113596 10818128 16227192 21636256 32454384 64908768