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2725340832 = 25329462989
BaseRepresentation
bin1010001001110001…
…0110011010100000
321000221012122210100
42202130112122200
521040141401312
61130233302400
7124352005044
oct24234263240
97027178710
102725340832
1111794249a5
12640864a00
13345819b16
141bbd4c024
1510e3dd5dc
hexa27166a0

2725340832 has 36 divisors (see below), whose sum is σ = 7750188810. Its totient is φ = 908446848.

The previous prime is 2725340831. The next prime is 2725340861. The reversal of 2725340832 is 2380435272.

It can be written as a sum of positive squares in only one way, i.e., 1932129936 + 793210896 = 43956^2 + 28164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×27253408323 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2725340831) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4731207 + ... + 4731782.

Almost surely, 22725340832 is an apocalyptic number.

It is an amenable number.

2725340832 is an abundant number, since it is smaller than the sum of its proper divisors (5024847978).

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

2725340832 is a wasteful number, since it uses less digits than its factorization.

2725340832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9463005 (or 9462994 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2725340832 is about 52204.7970209635. The cubic root of 2725340832 is about 1396.8194519478.

The spelling of 2725340832 in words is "two billion, seven hundred twenty-five million, three hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9462989 18925978 28388967 37851956 56777934 75703912 85166901 113555868 151407824 170333802 227111736 302815648 340667604 454223472 681335208 908446944 1362670416 2725340832