Search a number
-
+
42154002 = 232112111009
BaseRepresentation
bin1010000011001…
…1100000010010
32221022122102100
42200303200102
541242412002
64103301230
71021205652
oct240634022
987278370
1042154002
1121881a20
121214a816
13896c0c7
145854362
153a7a11c
hex2833812

42154002 has 48 divisors (see below), whose sum is σ = 100208160. Its totient is φ = 12700800.

The previous prime is 42154001. The next prime is 42154003. The reversal of 42154002 is 20045124.

It is an interprime number because it is at equal distance from previous prime (42154001) and next prime (42154003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42154001) 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, 41274 + ... + 42282.

It is an arithmetic number, because the mean of its divisors is an integer number (2087670).

Almost surely, 242154002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42154002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50104080).

42154002 is an abundant number, since it is smaller than the sum of its proper divisors (58054158).

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

42154002 is a wasteful number, since it uses less digits than its factorization.

42154002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42154002 is about 6492.6113390530. The cubic root of 42154002 is about 348.0269994906.

Adding to 42154002 its reverse (20045124), we get a palindrome (62199126).

The spelling of 42154002 in words is "forty-two million, one hundred fifty-four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 422 633 1009 1266 1899 2018 2321 3027 3798 4642 6054 6963 9081 11099 13926 18162 20889 22198 33297 41778 66594 99891 199782 212899 425798 638697 1277394 1916091 2341889 3832182 4683778 7025667 14051334 21077001 42154002