Search a number
-
+
2725515144 = 23321119917293
BaseRepresentation
bin1010001001110100…
…0000111110001000
321000221112111220100
42202131000332020
521040212441034
61130241125400
7124353332202
oct24235007610
97027474810
102725515144
111179533960
12640929860
1334587b271
141bbd95772
1510e425099
hexa2740f88

2725515144 has 96 divisors (see below), whose sum is σ = 8093592000. Its totient is φ = 821715840.

The previous prime is 2725515137. The next prime is 2725515161. The reversal of 2725515144 is 4415155272.

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

It is a junction number, because it is equal to n+sod(n) for n = 2725515099 and 2725515108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148962 + ... + 166254.

It is an arithmetic number, because the mean of its divisors is an integer number (84308250).

Almost surely, 22725515144 is an apocalyptic number.

2725515144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725515144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046796000).

2725515144 is an abundant number, since it is smaller than the sum of its proper divisors (5368076856).

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

2725515144 is a wasteful number, since it uses less digits than its factorization.

2725515144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17515 (or 17508 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 2725515144 is about 52206.4664960194. The cubic root of 2725515144 is about 1396.8492313670.

The spelling of 2725515144 in words is "two billion, seven hundred twenty-five million, five hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 199 264 396 398 597 792 796 1194 1592 1791 2189 2388 3582 4378 4776 6567 7164 8756 13134 14328 17293 17512 19701 26268 34586 39402 51879 52536 69172 78804 103758 138344 155637 157608 190223 207516 311274 380446 415032 570669 622548 760892 1141338 1245096 1521784 1712007 2282676 3424014 3441307 4565352 6848028 6882614 10323921 13696056 13765228 20647842 27530456 30971763 37854377 41295684 61943526 75708754 82591368 113563131 123887052 151417508 227126262 247774104 302835016 340689393 454252524 681378786 908505048 1362757572 2725515144