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64441168 = 24112811303
BaseRepresentation
bin1111010111010…
…0101101010000
311111020221122221
43311310231100
5112444104133
610221110424
71411512061
oct365645520
9144227587
1064441168
1133414670
12196b8414
131047358c
1487b6568
1559cda2d
hex3d74b50

64441168 has 40 divisors (see below), whose sum is σ = 136794816. Its totient is φ = 29164800.

The previous prime is 64441151. The next prime is 64441171. The reversal of 64441168 is 86114446.

It is a super-3 number, since 3×644411683 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48805 + ... + 50107.

Almost surely, 264441168 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 64441168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397408).

64441168 is an abundant number, since it is smaller than the sum of its proper divisors (72353648).

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

64441168 is a wasteful number, since it uses less digits than its factorization.

64441168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 64441168 is about 8027.5256461752. The cubic root of 64441168 is about 400.9169961885.

The spelling of 64441168 in words is "sixty-four million, four hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 281 562 1124 1303 2248 2606 3091 4496 5212 6182 10424 12364 14333 20848 24728 28666 49456 57332 114664 229328 366143 732286 1464572 2929144 4027573 5858288 8055146 16110292 32220584 64441168