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2725742064 = 243471208219
BaseRepresentation
bin1010001001110111…
…1000010111110000
321000221222001011210
42202131320113300
521040242221224
61130250040120
7124355265603
oct24235702760
97027861153
102725742064
1111796793a1
12640a19040
1334592a636
141bc01433a
1510e46c429
hexa27785f0

2725742064 has 40 divisors (see below), whose sum is σ = 7191325440. Its totient is φ = 889248448.

The previous prime is 2725742059. The next prime is 2725742081. The reversal of 2725742064 is 4602475272.

It is a happy number.

2725742064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601854 + ... + 606365.

It is an arithmetic number, because the mean of its divisors is an integer number (179783136).

Almost surely, 22725742064 is an apocalyptic number.

2725742064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2725742064 is an abundant number, since it is smaller than the sum of its proper divisors (4465583376).

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

2725742064 is a wasteful number, since it uses less digits than its factorization.

2725742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208277 (or 1208271 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 2725742064 is about 52208.6397447779. The cubic root of 2725742064 is about 1396.8879964218.

The spelling of 2725742064 in words is "two billion, seven hundred twenty-five million, seven hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 1208219 2416438 3624657 4832876 7249314 9665752 14498628 19331504 28997256 56786293 57994512 113572586 170358879 227145172 340717758 454290344 681435516 908580688 1362871032 2725742064