Search a number
-
+
2725340742 = 2356318887
BaseRepresentation
bin1010001001110001…
…0110011001000110
321000221012122200000
42202130112121012
521040141400432
61130233302130
7124352004555
oct24234263106
97027178600
102725340742
111179424923
12640864946
13345819a77
141bbd4bd9c
1510e3dd57c
hexa2716646

2725340742 has 48 divisors (see below), whose sum is σ = 6133999872. Its totient is φ = 906905160.

The previous prime is 2725340707. The next prime is 2725340747. The reversal of 2725340742 is 2470435272.

It is a happy number.

2725340742 is a `hidden beast` number, since 272 + 5 + 340 + 7 + 42 = 666.

It is a super-2 number, since 2×27253407422 = 14854964320010221128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2725340697 and 2725340706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725340747) 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, 302223 + ... + 311109.

It is an arithmetic number, because the mean of its divisors is an integer number (127791664).

Almost surely, 22725340742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725340742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066999936).

2725340742 is an abundant number, since it is smaller than the sum of its proper divisors (3408659130).

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

2725340742 is an equidigital number, since it uses as much as digits as its factorization.

2725340742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2725340742 is about 52204.7961589737. The cubic root of 2725340742 is about 1396.8194365719.

The spelling of 2725340742 in words is "two billion, seven hundred twenty-five million, three hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 631 1262 1893 3786 5679 8887 11358 17037 17774 26661 34074 51111 53322 79983 102222 153333 159966 239949 306666 479898 719847 1439694 2159541 4319082 5607697 11215394 16823091 33646182 50469273 100938546 151407819 302815638 454223457 908446914 1362670371 2725340742