Search a number
-
+
4115411500 = 225373137823
BaseRepresentation
bin1111010101001100…
…0011001000101100
3101121210212120021011
43311103003020230
531412021132000
61520211315004
7203661264154
oct36523031054
911553776234
104115411500
111822051632
1296a2aba64
135077ccc45
142b07d7764
151914712ba
hexf54c322c

4115411500 has 96 divisors (see below), whose sum is σ = 9188839296. Its totient is φ = 1609804800.

The previous prime is 4115411491. The next prime is 4115411501. The reversal of 4115411500 is 51145114.

It is a happy number.

It is a super-2 number, since 2×41154115002 = 33873223628664500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4115411501) 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, 5000089 + ... + 5000911.

It is an arithmetic number, because the mean of its divisors is an integer number (95717076).

Almost surely, 24115411500 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 4115411500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594419648).

4115411500 is an abundant number, since it is smaller than the sum of its proper divisors (5073427796).

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

4115411500 is a wasteful number, since it uses less digits than its factorization.

4115411500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 4115411500 is about 64151.4730929852. The cubic root of 4115411500 is about 1602.5235567582.

Adding to 4115411500 its reverse (51145114), we get a palindrome (4166556614).

It can be divided in two parts, 4115 and 411500, that multiplied together give a square (1693322500 = 411502).

The spelling of 4115411500 in words is "four billion, one hundred fifteen million, four hundred eleven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 137 146 250 274 292 365 500 548 685 730 823 1370 1460 1646 1825 2740 3292 3425 3650 4115 6850 7300 8230 9125 10001 13700 16460 17125 18250 20002 20575 34250 36500 40004 41150 50005 60079 68500 82300 100010 102875 112751 120158 200020 205750 225502 240316 250025 300395 411500 451004 500050 563755 600790 1000100 1127510 1201580 1250125 1501975 2255020 2500250 2818775 3003950 5000500 5637550 6007900 7509875 8230823 11275100 14093875 15019750 16461646 28187750 30039500 32923292 41154115 56375500 82308230 164616460 205770575 411541150 823082300 1028852875 2057705750 4115411500