Search a number
-
+
2725322976 = 253317318233
BaseRepresentation
bin1010001001110001…
…0010000011100000
321000221011202022000
42202130102003200
521040140313401
61130233044000
7124351602015
oct24234220340
97027152260
102725322976
111179412542
12640856600
1334581195c
141bbd4570c
1510e3d8186
hexa27120e0

2725322976 has 96 divisors (see below), whose sum is σ = 7995244320. Its totient is φ = 903140352.

The previous prime is 2725322959. The next prime is 2725322981. The reversal of 2725322976 is 6792235272.

2725322976 is a `hidden beast` number, since 27 + 2 + 532 + 2 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140356 + ... + 158588.

It is an arithmetic number, because the mean of its divisors is an integer number (83283795).

Almost surely, 22725322976 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 2725322976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997622160).

2725322976 is an abundant number, since it is smaller than the sum of its proper divisors (5269921344).

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

2725322976 is a wasteful number, since it uses less digits than its factorization.

2725322976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18425 (or 18411 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 2725322976 is about 52204.6260019167. The cubic root of 2725322976 is about 1396.8164013615.

The spelling of 2725322976 in words is "two billion, seven hundred twenty-five million, three hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 432 519 692 864 1038 1384 1557 2076 2768 3114 4152 4671 5536 6228 8304 9342 12456 16608 18233 18684 24912 36466 37368 49824 54699 72932 74736 109398 145864 149472 164097 218796 291728 328194 437592 492291 583456 656388 875184 984582 1312776 1750368 1969164 2625552 3154309 3938328 5251104 6308618 7876656 9462927 12617236 15753312 18925854 25234472 28388781 37851708 50468944 56777562 75703416 85166343 100937888 113555124 151406832 170332686 227110248 302813664 340665372 454220496 681330744 908440992 1362661488 2725322976