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92842134 = 237111711821
BaseRepresentation
bin1011000100010…
…10100010010110
320110200212110120
411202022202112
5142231422014
613113532410
72205100530
oct542124226
9213625416
1092842134
1148452740
1227114106
1316308798
14c48a850
15823dba9
hex588a896

92842134 has 64 divisors (see below), whose sum is σ = 245140992. Its totient is φ = 22694400.

The previous prime is 92842133. The next prime is 92842157. The reversal of 92842134 is 43124829.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 92842095 and 92842104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92842133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944 + ... + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (3830328).

Almost surely, 292842134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92842134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122570496).

92842134 is an abundant number, since it is smaller than the sum of its proper divisors (152298858).

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

92842134 is a wasteful number, since it uses less digits than its factorization.

92842134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11861.

The product of its digits is 13824, while the sum is 33.

The square root of 92842134 is about 9635.4623137657. The cubic root of 92842134 is about 452.8089872970.

The spelling of 92842134 in words is "ninety-two million, eight hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1122 1309 2618 3927 7854 11821 23642 35463 70926 82747 130031 165494 200957 248241 260062 390093 401914 496482 602871 780186 910217 1205742 1406699 1820434 2210527 2730651 2813398 4220097 4421054 5461302 6631581 8440194 13263162 15473689 30947378 46421067 92842134