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64144008 = 2333417243
BaseRepresentation
bin1111010010110…
…0001010001000
311110200212001000
43310230022020
5112410102013
610210455000
71406133525
oct364541210
9143625030
1064144008
1133231385
1219594460
131039b246
14873a14c
155970973
hex3d2c288

64144008 has 64 divisors (see below), whose sum is σ = 182548800. Its totient is φ = 20856960.

The previous prime is 64144007. The next prime is 64144013. The reversal of 64144008 is 80044146.

It is a super-2 number, since 2×641440082 = 8228907524608128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64144007) 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, 5235 + ... + 12477.

It is an arithmetic number, because the mean of its divisors is an integer number (2852325).

Almost surely, 264144008 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 64144008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91274400).

64144008 is an abundant number, since it is smaller than the sum of its proper divisors (118404792).

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

64144008 is a wasteful number, since it uses less digits than its factorization.

64144008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 64144008 is about 8008.9954426257. The cubic root of 64144008 is about 400.2997919225.

The spelling of 64144008 in words is "sixty-four million, one hundred forty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 7243 8856 14486 21729 28972 43458 57944 65187 86916 130374 173832 195561 260748 296963 391122 521496 593926 782244 890889 1187852 1564488 1781778 2375704 2672667 3563556 5345334 7127112 8018001 10690668 16036002 21381336 32072004 64144008