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64414428 = 2231317107227
BaseRepresentation
bin1111010110111…
…0001011011100
311111012120222120
43311232023130
5112442230203
610220342540
71411341111
oct365561334
9144176876
1064414428
11333a6571
12196a4a50
1310464360
1487aa908
1559c5b53
hex3d6e2dc

64414428 has 96 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 18398208.

The previous prime is 64414417. The next prime is 64414429. The reversal of 64414428 is 82441446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64414429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283651 + ... + 283877.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 264414428 is an apocalyptic number.

64414428 is a gapful number since it is divisible by the number (68) 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 64414428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

64414428 is an abundant number, since it is smaller than the sum of its proper divisors (109332516).

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

64414428 is a wasteful number, since it uses less digits than its factorization.

64414428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 64414428 is about 8025.8599539239. The cubic root of 64414428 is about 400.8615347292.

The spelling of 64414428 in words is "sixty-four million, four hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 107 156 204 214 221 227 321 428 442 454 642 663 681 884 908 1284 1326 1362 1391 1819 2652 2724 2782 2951 3638 3859 4173 5457 5564 5902 7276 7718 8346 8853 10914 11577 11804 15436 16692 17706 21828 23154 23647 24289 35412 46308 47294 48578 50167 70941 72867 94588 97156 100334 141882 145734 150501 200668 283764 291468 301002 315757 412913 602004 631514 825826 947271 1238739 1263028 1651652 1894542 2477478 3789084 4954956 5367869 10735738 16103607 21471476 32207214 64414428