Search a number
-
+
64087568 = 2423349499
BaseRepresentation
bin1111010001111…
…0011000010000
311110120222121122
43310132120100
5112401300233
610205341412
71405510136
oct364363020
9143528548
1064087568
11331a2a36
1219567868
131037b64c
148723756
15595dd98
hex3d1e610

64087568 has 40 divisors (see below), whose sum is σ = 130200000. Its totient is φ = 30501504.

The previous prime is 64087561. The next prime is 64087601. The reversal of 64087568 is 86578046.

It is not an unprimeable number, because it can be changed into a prime (64087561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128183 + ... + 128681.

It is an arithmetic number, because the mean of its divisors is an integer number (3255000).

Almost surely, 264087568 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 64087568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100000).

64087568 is an abundant number, since it is smaller than the sum of its proper divisors (66112432).

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

64087568 is a wasteful number, since it uses less digits than its factorization.

64087568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 64087568 is about 8005.4711291716. The cubic root of 64087568 is about 400.1823501917.

The spelling of 64087568 in words is "sixty-four million, eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 349 368 499 698 998 1396 1996 2792 3992 5584 7984 8027 11477 16054 22954 32108 45908 64216 91816 128432 174151 183632 348302 696604 1393208 2786416 4005473 8010946 16021892 32043784 64087568