Search a number
-
+
66097592 = 2311712149
BaseRepresentation
bin1111110000100…
…1000110111000
311121101002211222
43330021012320
5113410110332
610320411212
71431551231
oct374110670
9147332758
1066097592
1134346110
121a176b08
1310903502
148ac8088
155c09712
hex3f091b8

66097592 has 48 divisors (see below), whose sum is σ = 138051000. Its totient is φ = 29422400.

The previous prime is 66097589. The next prime is 66097613. The reversal of 66097592 is 29579066.

66097592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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, 443534 + ... + 443682.

Almost surely, 266097592 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 66097592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69025500).

66097592 is an abundant number, since it is smaller than the sum of its proper divisors (71953408).

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

66097592 is a wasteful number, since it uses less digits than its factorization.

66097592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 66097592 is about 8130.0425583142. The cubic root of 66097592 is about 404.3230921955.

The spelling of 66097592 in words is "sixty-six million, ninety-seven thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 71 88 142 149 284 298 568 596 781 1192 1562 1639 3124 3278 5041 6248 6556 10082 10579 13112 20164 21158 40328 42316 55451 84632 110902 116369 221804 232738 443608 465476 751109 930952 1502218 3004436 6008872 8262199 16524398 33048796 66097592