Search a number
-
+
42928092 = 223253149151
BaseRepresentation
bin1010001111000…
…0011111011100
32222202222021100
42203300133130
541442144332
64132033100
71030611534
oct243603734
988688240
1042928092
1122260569
1212462790
138b8054c
1459b64c4
153b7e67c
hex28f07dc

42928092 has 72 divisors (see below), whose sum is σ = 112039200. Its totient is φ = 13852800.

The previous prime is 42928069. The next prime is 42928099. The reversal of 42928092 is 29082924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42928099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284217 + ... + 284367.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 242928092 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 42928092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56019600).

42928092 is an abundant number, since it is smaller than the sum of its proper divisors (69111108).

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

42928092 is a wasteful number, since it uses less digits than its factorization.

42928092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42928092 is about 6551.9532965368. The cubic root of 42928092 is about 350.1444084367.

The spelling of 42928092 in words is "forty-two million, nine hundred twenty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 149 151 159 212 298 302 318 447 453 477 596 604 636 894 906 954 1341 1359 1788 1812 1908 2682 2718 5364 5436 7897 8003 15794 16006 22499 23691 24009 31588 32012 44998 47382 48018 67497 71073 72027 89996 94764 96036 134994 142146 144054 202491 269988 284292 288108 404982 809964 1192447 2384894 3577341 4769788 7154682 10732023 14309364 21464046 42928092