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64455248 = 24112132197
BaseRepresentation
bin1111010111100…
…0001001010000
311111021122222102
43311320021100
5113000031443
610221255532
71411601114
oct365701120
9144248872
1064455248
1133424200
12197045a8
1310479b00
1487bb744
1559d2cb8
hex3d78250

64455248 has 90 divisors (see below), whose sum is σ = 149392782. Its totient is φ = 26906880.

The previous prime is 64455247. The next prime is 64455257. The reversal of 64455248 is 84255446.

It can be written as a sum of positive squares in 3 ways, for example, as 6512704 + 57942544 = 2552^2 + 7612^2 .

It is a super-3 number, since 3×644552483 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64455241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 327086 + ... + 327282.

Almost surely, 264455248 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 64455248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74696391).

64455248 is an abundant number, since it is smaller than the sum of its proper divisors (84937534).

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

64455248 is a wasteful number, since it uses less digits than its factorization.

64455248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

The square root of 64455248 is about 8028.4025808376. The cubic root of 64455248 is about 400.9461933638.

The spelling of 64455248 in words is "sixty-four million, four hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 197 208 242 286 338 394 484 572 676 788 968 1144 1352 1573 1576 1859 1936 2167 2288 2561 2704 3146 3152 3718 4334 5122 6292 7436 8668 10244 12584 14872 17336 20449 20488 23837 25168 28171 29744 33293 34672 40898 40976 47674 56342 66586 81796 95348 112684 133172 163592 190696 225368 266344 309881 327184 366223 381392 450736 532688 619762 732446 1239524 1464892 2479048 2929784 4028453 4958096 5859568 8056906 16113812 32227624 64455248