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92142666 = 232711193499
BaseRepresentation
bin1010111110111…
…11110001001010
320102101022222100
411133133301022
5142042031131
613050534230
72166125340
oct537376112
9212338870
1092142666
1148015170
1226a37376
13161222b5
14c347990
1581517e6
hex57dfc4a

92142666 has 96 divisors (see below), whose sum is σ = 262080000. Its totient is φ = 22667040.

The previous prime is 92142653. The next prime is 92142689. The reversal of 92142666 is 66624129.

It is a self number, because there is not a number n which added to its sum of digits gives 92142666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24585 + ... + 28083.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 292142666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92142666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

92142666 is an abundant number, since it is smaller than the sum of its proper divisors (169937334).

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

92142666 is a wasteful number, since it uses less digits than its factorization.

92142666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3541 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 92142666 is about 9599.0971450444. The cubic root of 92142666 is about 451.6689727842.

The spelling of 92142666 in words is "ninety-two million, one hundred forty-two thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3499 3762 4389 6998 8778 10497 13167 20994 24493 26334 31491 38489 48986 62982 66481 73479 76978 115467 132962 146958 199443 220437 230934 269423 346401 398886 440874 465367 538846 598329 692802 731291 808269 930734 1196658 1396101 1462582 1616538 2193873 2424807 2792202 4188303 4387746 4849614 5119037 6581619 8376606 10238074 13163238 15357111 30714222 46071333 92142666