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64914464 = 252389991
BaseRepresentation
bin1111011110100…
…0010000100000
311112010222220102
43313220100200
5113104230324
610235201532
71415522666
oct367502040
9145128812
1064914464
113370821a
12198a62a8
13105aab34
14889ac36
155a73dae
hex3de8420

64914464 has 48 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 30666240.

The previous prime is 64914461. The next prime is 64914467. The reversal of 64914464 is 46441946.

It is an interprime number because it is at equal distance from previous prime (64914461) and next prime (64914467).

It is not an unprimeable number, because it can be changed into a prime (64914461) 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 7 ways as a sum of consecutive naturals, for example, 65009 + ... + 65999.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 264914464 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 64914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

64914464 is an abundant number, since it is smaller than the sum of its proper divisors (70076896).

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

64914464 is a wasteful number, since it uses less digits than its factorization.

64914464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 64914464 is about 8056.9512844500. The cubic root of 64914464 is about 401.8961308504.

The spelling of 64914464 in words is "sixty-four million, nine hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 356 368 712 736 991 1424 1982 2047 2848 3964 4094 7928 8188 15856 16376 22793 31712 32752 45586 65504 88199 91172 176398 182344 352796 364688 705592 729376 1411184 2028577 2822368 4057154 8114308 16228616 32457232 64914464