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66168592 = 2475371157
BaseRepresentation
bin1111110001101…
…0011100010000
311121111201020121
43330122130100
5113414343332
610322120024
71432265230
oct374323420
9147451217
1066168592
1134394496
121a1b0014
1310929919
148b05cc0
155c20797
hex3f1a710

66168592 has 80 divisors (see below), whose sum is σ = 152347392. Its totient is φ = 27256320.

The previous prime is 66168589. The next prime is 66168611. The reversal of 66168592 is 29586166.

66168592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 421378 + ... + 421534.

Almost surely, 266168592 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 66168592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76173696).

66168592 is an abundant number, since it is smaller than the sum of its proper divisors (86178800).

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

66168592 is a wasteful number, since it uses less digits than its factorization.

66168592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 66168592 is about 8134.4079071559. The cubic root of 66168592 is about 404.4678108663.

The spelling of 66168592 in words is "sixty-six million, one hundred sixty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 71 106 112 142 157 212 284 314 371 424 497 568 628 742 848 994 1099 1136 1256 1484 1988 2198 2512 2968 3763 3976 4396 5936 7526 7952 8321 8792 11147 15052 16642 17584 22294 26341 30104 33284 44588 52682 58247 60208 66568 78029 89176 105364 116494 133136 156058 178352 210728 232988 312116 421456 465976 590791 624232 931952 1181582 1248464 2363164 4135537 4726328 8271074 9452656 16542148 33084296 66168592