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64238448 = 24323311877
BaseRepresentation
bin1111010100001…
…1001101110000
311110212122120210
43311003031300
5112421112243
610212504120
71410006051
oct365031560
9143778523
1064238448
113329632a
121961b040
1310402221
148762728
15598d933
hex3d43370

64238448 has 80 divisors (see below), whose sum is σ = 178845696. Its totient is φ = 19810560.

The previous prime is 64238441. The next prime is 64238459. The reversal of 64238448 is 84483246.

64238448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64238441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33286 + ... + 35162.

Almost surely, 264238448 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 64238448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89422848).

64238448 is an abundant number, since it is smaller than the sum of its proper divisors (114607248).

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

64238448 is a wasteful number, since it uses less digits than its factorization.

64238448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1936 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 64238448 is about 8014.8891445858. The cubic root of 64238448 is about 400.4961509977.

The spelling of 64238448 in words is "sixty-four million, two hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 368 372 496 552 713 744 1104 1426 1488 1877 2139 2852 3754 4278 5631 5704 7508 8556 11262 11408 15016 17112 22524 30032 34224 43171 45048 58187 86342 90096 116374 129513 172684 174561 232748 259026 345368 349122 465496 518052 690736 698244 930992 1036104 1338301 1396488 2072208 2676602 2792976 4014903 5353204 8029806 10706408 16059612 21412816 32119224 64238448