Search a number
-
+
64394496 = 2832191471
BaseRepresentation
bin1111010110100…
…1010100000000
311111011120122100
43311221110000
5112441110441
610220110400
71411226025
oct365512400
9144146570
1064394496
11333925a1
1219695400
131045826a
1487a354c
1559becb6
hex3d69500

64394496 has 108 divisors (see below), whose sum is σ = 195569920. Its totient is φ = 20321280.

The previous prime is 64394489. The next prime is 64394497. The reversal of 64394496 is 69449346.

It is a happy number.

It is a super-2 number, since 2×643944962 = 8293302230188032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64394497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43041 + ... + 44511.

Almost surely, 264394496 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 64394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97784960).

64394496 is an abundant number, since it is smaller than the sum of its proper divisors (131175424).

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

64394496 is a wasteful number, since it uses less digits than its factorization.

64394496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1495 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 64394496 is about 8024.6181217551. The cubic root of 64394496 is about 400.8201837637.

The spelling of 64394496 in words is "sixty-four million, three hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1471 1824 2304 2432 2736 2942 3648 4413 4864 5472 5884 7296 8826 10944 11768 13239 14592 17652 21888 23536 26478 27949 35304 43776 47072 52956 55898 70608 83847 94144 105912 111796 141216 167694 188288 211824 223592 251541 282432 335388 376576 423648 447184 503082 564864 670776 847296 894368 1006164 1129728 1341552 1694592 1788736 2012328 2683104 3389184 3577472 4024656 5366208 7154944 8049312 10732416 16098624 21464832 32197248 64394496