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64144890 = 23253183277
BaseRepresentation
bin1111010010110…
…0010111111010
311110200220020200
43310230113322
5112410114030
610210503030
71406136225
oct364542772
9143626220
1064144890
1133232007
1219594a76
131039b774
14873a5bc
155970d60
hex3d2c5fa

64144890 has 96 divisors (see below), whose sum is σ = 174859776. Its totient is φ = 16295040.

The previous prime is 64144889. The next prime is 64144909. The reversal of 64144890 is 9844146.

It is a happy number.

64144890 is a `hidden beast` number, since 641 + 4 + 4 + 8 + 9 + 0 = 666.

It is a super-2 number, since 2×641448902 = 8229133826224200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231432 + ... + 231708.

It is an arithmetic number, because the mean of its divisors is an integer number (1821456).

Almost surely, 264144890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64144890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87429888).

64144890 is an abundant number, since it is smaller than the sum of its proper divisors (110714886).

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

64144890 is a wasteful number, since it uses less digits than its factorization.

64144890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 64144890 is about 8009.0505055219. The cubic root of 64144890 is about 400.3016266629.

The spelling of 64144890 in words is "sixty-four million, one hundred forty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 83 90 93 155 166 186 249 277 279 310 415 465 498 554 558 747 830 831 930 1245 1385 1395 1494 1662 2490 2493 2573 2770 2790 3735 4155 4986 5146 7470 7719 8310 8587 12465 12865 15438 17174 22991 23157 24930 25730 25761 38595 42935 45982 46314 51522 68973 77190 77283 85870 114955 115785 128805 137946 154566 206919 229910 231570 257610 344865 386415 413838 689730 712721 772830 1034595 1425442 2069190 2138163 3563605 4276326 6414489 7127210 10690815 12828978 21381630 32072445 64144890