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64424416 = 2572181227
BaseRepresentation
bin1111010111000…
…0100111100000
311111020002200111
43311300213200
5112443040131
610220501104
71411412200
oct365604740
9144202614
1064424416
1133403021
12196aa794
1310468a74
1487b0400
1559c8ab1
hex3d709e0

64424416 has 72 divisors (see below), whose sum is σ = 149012136. Its totient is φ = 27336960.

The previous prime is 64424413. The next prime is 64424429. The reversal of 64424416 is 61442446.

64424416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64424413) 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 11 ways as a sum of consecutive naturals, for example, 283695 + ... + 283921.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 264424416 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 64424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74506068).

64424416 is an abundant number, since it is smaller than the sum of its proper divisors (84587720).

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

64424416 is a wasteful number, since it uses less digits than its factorization.

64424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 64424416 is about 8026.4821684222. The cubic root of 64424416 is about 400.8822526450.

The spelling of 64424416 in words is "sixty-four million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 181 196 224 227 362 392 454 724 784 908 1267 1448 1568 1589 1816 2534 2896 3178 3632 5068 5792 6356 7264 8869 10136 11123 12712 17738 20272 22246 25424 35476 40544 41087 44492 50848 70952 82174 88984 141904 164348 177968 283808 287609 328696 355936 575218 657392 1150436 1314784 2013263 2300872 4026526 4601744 8053052 9203488 16106104 32212208 64424416