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64483008 = 2632937313
BaseRepresentation
bin1111010111111…
…0111011000000
311111100002001120
43311332323000
5113001424013
610222032240
71412045052
oct365767300
9144302046
1064483008
1133443047
1219718680
1310489635
1487c78d2
1559db123
hex3d7eec0

64483008 has 112 divisors (see below), whose sum is σ = 181843680. Its totient is φ = 20127744.

The previous prime is 64482997. The next prime is 64483009. The reversal of 64483008 is 80038446.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64483008.

It is not an unprimeable number, because it can be changed into a prime (64483009) 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, 205860 + ... + 206172.

Almost surely, 264483008 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 64483008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90921840).

64483008 is an abundant number, since it is smaller than the sum of its proper divisors (117360672).

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

64483008 is a wasteful number, since it uses less digits than its factorization.

64483008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 64483008 is about 8030.1312567106. The cubic root of 64483008 is about 401.0037457958.

The spelling of 64483008 in words is "sixty-four million, four hundred eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 148 174 192 222 232 296 313 348 444 464 592 626 696 888 928 939 1073 1184 1252 1392 1776 1856 1878 2146 2368 2504 2784 3219 3552 3756 4292 5008 5568 6438 7104 7512 8584 9077 10016 11581 12876 15024 17168 18154 20032 23162 25752 27231 30048 34336 34743 36308 46324 51504 54462 60096 68672 69486 72616 92648 103008 108924 138972 145232 185296 206016 217848 277944 290464 335849 370592 435696 555888 580928 671698 741184 871392 1007547 1111776 1343396 1742784 2015094 2223552 2686792 4030188 5373584 8060376 10747168 16120752 21494336 32241504 64483008