Search a number
-
+
66859488 = 2532832797
BaseRepresentation
bin1111111100001…
…1000111100000
311122210210222100
43333003013200
5114104000423
610345010400
71441203423
oct377030740
9148723870
1066859488
1134816583
121a483a00
1310b0c237
148c459ba
155d0a343
hex3fc31e0

66859488 has 72 divisors (see below), whose sum is σ = 192491208. Its totient is φ = 22010112.

The previous prime is 66859469. The next prime is 66859519. The reversal of 66859488 is 88495866.

It is a happy number.

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

It is a super-2 number, since 2×668594882 = 8940382271244288, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22506 + ... + 25302.

It is an arithmetic number, because the mean of its divisors is an integer number (2673489).

Almost surely, 266859488 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 66859488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96245604).

66859488 is an abundant number, since it is smaller than the sum of its proper divisors (125631720).

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

66859488 is a wasteful number, since it uses less digits than its factorization.

66859488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2885 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 66859488 is about 8176.7651305391. The cubic root of 66859488 is about 405.8706828477.

The spelling of 66859488 in words is "sixty-six million, eight hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2797 2988 3984 5594 5976 7968 8391 11188 11952 16782 22376 23904 25173 33564 44752 50346 67128 89504 100692 134256 201384 232151 268512 402768 464302 696453 805536 928604 1392906 1857208 2089359 2785812 3714416 4178718 5571624 7428832 8357436 11143248 16714872 22286496 33429744 66859488