Search a number
-
+
64133500 = 2253294423
BaseRepresentation
bin1111010010100…
…1100101111100
311110200022121211
43310221211330
5112404233000
610210334204
71406061064
oct364514574
9143608554
1064133500
11332244a2
121958a364
1310396522
1487363a4
15596c7ba
hex3d2997c

64133500 has 48 divisors (see below), whose sum is σ = 144930240. Its totient is φ = 24763200.

The previous prime is 64133479. The next prime is 64133501. The reversal of 64133500 is 533146.

It is a super-2 number, since 2×641335002 = 8226211644500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64133501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12289 + ... + 16711.

It is an arithmetic number, because the mean of its divisors is an integer number (3019380).

Almost surely, 264133500 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 64133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465120).

64133500 is an abundant number, since it is smaller than the sum of its proper divisors (80796740).

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

64133500 is a wasteful number, since it uses less digits than its factorization.

64133500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 64133500 is about 8008.3394033969. The cubic root of 64133500 is about 400.2779318400.

Adding to 64133500 its reverse (533146), we get a palindrome (64666646).

The spelling of 64133500 in words is "sixty-four million, one hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 3625 4423 7250 8846 14500 17692 22115 44230 88460 110575 128267 221150 256534 442300 513068 552875 641335 1105750 1282670 2211500 2565340 3206675 6413350 12826700 16033375 32066750 64133500