Search a number
-
+
615150042 = 2313192318047
BaseRepresentation
bin100100101010100…
…111000111011010
31120212111212012220
4210222213013122
52224434300132
6141012444510
721146455233
oct4452470732
91525455186
10615150042
11296266371
12152019736
139a5a1610
145b9ac08a
1539011a2c
hex24aa71da

615150042 has 64 divisors (see below), whose sum is σ = 1455390720. Its totient is φ = 171509184.

The previous prime is 615150037. The next prime is 615150043. The reversal of 615150042 is 240051516.

615150042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 615149994 and 615150021.

It is not an unprimeable number, because it can be changed into a prime (615150043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25063 + ... + 43109.

It is an arithmetic number, because the mean of its divisors is an integer number (22740480).

Almost surely, 2615150042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 615150042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727695360).

615150042 is an abundant number, since it is smaller than the sum of its proper divisors (840240678).

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

615150042 is a wasteful number, since it uses less digits than its factorization.

615150042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18107.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 615150042 is about 24802.2184894819. The cubic root of 615150042 is about 850.4726515459.

The spelling of 615150042 in words is "six hundred fifteen million, one hundred fifty thousand, forty-two".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 437 494 598 741 874 897 1311 1482 1794 2622 5681 11362 17043 18047 34086 36094 54141 108282 234611 342893 415081 469222 685786 703833 830162 1028679 1245243 1407666 2057358 2490486 4457609 5396053 7886539 8915218 10792106 13372827 15773078 16188159 23659617 26745654 32376318 47319234 102525007 205050014 307575021 615150042