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64444212 = 22327317307
BaseRepresentation
bin1111010111010…
…1011100110100
311111021002211200
43311311130310
5112444203322
610221132500
71411524000
oct365653464
9144232750
1064444212
1133416988
12196ba130
1310474a91
1487b7700
1559ce8ac
hex3d75734

64444212 has 144 divisors (see below), whose sum is σ = 201801600. Its totient is φ = 17273088.

The previous prime is 64444207. The next prime is 64444213. The reversal of 64444212 is 21244446.

It is a happy number.

64444212 is a `hidden beast` number, since 6 + 4 + 444 + 212 = 666.

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 (64444213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209763 + ... + 210069.

It is an arithmetic number, because the mean of its divisors is an integer number (1401400).

Almost surely, 264444212 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 64444212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100900800).

64444212 is an abundant number, since it is smaller than the sum of its proper divisors (137357388).

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

64444212 is a wasteful number, since it uses less digits than its factorization.

64444212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 64444212 is about 8027.7152415865. The cubic root of 64444212 is about 400.9233087791.

Adding to 64444212 its reverse (21244446), we get a palindrome (85688658).

The spelling of 64444212 in words is "sixty-four million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 307 343 357 441 476 588 612 614 686 714 833 882 921 1029 1071 1228 1372 1428 1666 1764 1842 2058 2142 2149 2499 2763 3087 3332 3684 4116 4284 4298 4998 5219 5526 5831 6174 6447 7497 8596 9996 10438 11052 11662 12348 12894 14994 15043 15657 17493 19341 20876 23324 25788 29988 30086 31314 34986 36533 38682 45129 46971 52479 60172 62628 69972 73066 77364 90258 93942 104958 105301 109599 135387 146132 180516 187884 209916 210602 219198 255731 270774 315903 328797 421204 438396 511462 541548 631806 657594 767193 947709 1022924 1263612 1315188 1534386 1790117 1895418 2301579 3068772 3580234 3790836 4603158 5370351 7160468 9206316 10740702 16111053 21481404 32222106 64444212