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64073856 = 2737112197
BaseRepresentation
bin1111010001101…
…1000010000000
311110120021210210
43310123002000
5112400330411
610205154120
71405422150
oct364330200
9143507723
1064073856
1133193700
121955b940
1310375332
14871c760
155959ca6
hex3d1b080

64073856 has 192 divisors, whose sum is σ = 214885440. Its totient is φ = 16558080.

The previous prime is 64073843. The next prime is 64073887. The reversal of 64073856 is 65837046.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325150 + ... + 325346.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 264073856 is an apocalyptic number.

64073856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442720).

64073856 is an abundant number, since it is smaller than the sum of its proper divisors (150811584).

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

64073856 is a wasteful number, since it uses less digits than its factorization.

64073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 64073856 is about 8004.6146690518. The cubic root of 64073856 is about 400.1538075172.

It can be divided in two parts, 6 and 4073856, that multiplied together give a square (24443136 = 49442).

The spelling of 64073856 in words is "sixty-four million, seventy-three thousand, eight hundred fifty-six".