Search a number
-
+
64865088 = 2632195927
BaseRepresentation
bin1111011101110…
…0001101000000
311112001111011200
43313130031000
5113101140323
610234141200
71415226021
oct367341500
9145044150
1064865088
1133684112
1219881800
1310591512
148886c48
155a64443
hex3ddc340

64865088 has 84 divisors (see below), whose sum is σ = 195742560. Its totient is φ = 20480256.

The previous prime is 64865071. The next prime is 64865089. The reversal of 64865088 is 88056846.

64865088 is a `hidden beast` number, since 64 + 86 + 508 + 8 = 666.

64865088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64865089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7981 + ... + 13907.

Almost surely, 264865088 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 64865088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97871280).

64865088 is an abundant number, since it is smaller than the sum of its proper divisors (130877472).

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

64865088 is a wasteful number, since it uses less digits than its factorization.

64865088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 64865088 is about 8053.8865152174. The cubic root of 64865088 is about 401.7942066895.

The spelling of 64865088 in words is "sixty-four million, eight hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 5927 10944 11854 17781 23708 35562 47416 53343 71124 94832 106686 112613 142248 189664 213372 225226 284496 337839 379328 426744 450452 568992 675678 853488 900904 1013517 1137984 1351356 1706976 1801808 2027034 2702712 3413952 3603616 4054068 5405424 7207232 8108136 10810848 16216272 21621696 32432544 64865088