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64483488 = 25324143127
BaseRepresentation
bin1111010111111…
…1000010100000
311111100002201100
43311333002200
5113001432423
610222034400
71412046336
oct365770240
9144302640
1064483488
1133443443
1219718a00
1310489914
1487c7b56
1559db343
hex3d7f0a0

64483488 has 144 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 20321280.

The previous prime is 64483487. The next prime is 64483537. The reversal of 64483488 is 88438446.

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

It is a super-2 number, since 2×644834882 = 8316240449292288, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64483481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507681 + ... + 507807.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 264483488 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 64483488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

64483488 is an abundant number, since it is smaller than the sum of its proper divisors (129246048).

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

64483488 is a wasteful number, since it uses less digits than its factorization.

64483488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 64483488 is about 8030.1611440867. The cubic root of 64483488 is about 401.0047407934.

The spelling of 64483488 in words is "sixty-four million, four hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 43 48 72 82 86 96 123 127 129 144 164 172 246 254 258 288 328 344 369 381 387 492 508 516 656 688 738 762 774 984 1016 1032 1143 1312 1376 1476 1524 1548 1763 1968 2032 2064 2286 2952 3048 3096 3526 3936 4064 4128 4572 5207 5289 5461 5904 6096 6192 7052 9144 10414 10578 10922 11808 12192 12384 14104 15621 15867 16383 18288 20828 21156 21844 28208 31242 31734 32766 36576 41656 42312 43688 46863 49149 56416 62484 63468 65532 83312 84624 87376 93726 98298 124968 126936 131064 166624 169248 174752 187452 196596 223901 249936 253872 262128 374904 393192 447802 499872 507744 524256 671703 749808 786384 895604 1343406 1499616 1572768 1791208 2015109 2686812 3582416 4030218 5373624 7164832 8060436 10747248 16120872 21494496 32241744 64483488