Search a number
-
+
88964064 = 2532744129
BaseRepresentation
bin1010100110101…
…11101111100000
320012101211202100
411103113233200
5140233322224
612454450400
72130116310
oct523275740
9205354670
1088964064
1146244022
1225963a00
131557b577
14bb5b440
157c24ac9
hex54d7be0

88964064 has 72 divisors (see below), whose sum is σ = 289139760. Its totient is φ = 25417728.

The previous prime is 88964063. The next prime is 88964089. The reversal of 88964064 is 46046988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88964063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20049 + ... + 24080.

It is an arithmetic number, because the mean of its divisors is an integer number (4015830).

Almost surely, 288964064 is an apocalyptic number.

88964064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

88964064 is an abundant number, since it is smaller than the sum of its proper divisors (200175696).

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

88964064 is a wasteful number, since it uses less digits than its factorization.

88964064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44152 (or 44141 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 88964064 is about 9432.0763355690. The cubic root of 88964064 is about 446.4144096786.

The spelling of 88964064 in words is "eighty-eight million, nine hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 44129 88258 132387 176516 264774 308903 353032 397161 529548 617806 706064 794322 926709 1059096 1235612 1412128 1588644 1853418 2118192 2471224 2780127 3177288 3706836 4236384 4942448 5560254 6354576 7413672 9884896 11120508 12709152 14827344 22241016 29654688 44482032 88964064