Search a number
-
+
2725914296 = 23736714827
BaseRepresentation
bin1010001001111010…
…0010011010111000
321000222021210102202
42202132202122320
521040313224141
61130253445332
7124356614000
oct24236423270
97028253382
102725914296
111179786836
12640aa0848
1334598ab51
141bc05b000
1510e4a349b
hexa27a26b8

2725914296 has 64 divisors (see below), whose sum is σ = 6049824000. Its totient is φ = 1150734816.

The previous prime is 2725914293. The next prime is 2725914337. The reversal of 2725914296 is 6924195272.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2725914296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725914293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176435 + ... + 191261.

It is an arithmetic number, because the mean of its divisors is an integer number (94528500).

Almost surely, 22725914296 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 2725914296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024912000).

2725914296 is an abundant number, since it is smaller than the sum of its proper divisors (3323909704).

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

2725914296 is a wasteful number, since it uses less digits than its factorization.

2725914296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14903 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 2725914296 is about 52210.2891775175. The cubic root of 2725914296 is about 1396.9174176143.

The spelling of 2725914296 in words is "two billion, seven hundred twenty-five million, nine hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 343 392 469 536 686 938 1372 1876 2744 3283 3752 6566 13132 14827 22981 26264 29654 45962 59308 91924 103789 118616 183848 207578 415156 726523 830312 993409 1453046 1986818 2906092 3973636 5085661 5812184 6953863 7947272 10171322 13907726 20342644 27815452 40685288 48677041 55630904 97354082 194708164 340739287 389416328 681478574 1362957148 2725914296