Search a number
-
+
2688625152 = 2932583469
BaseRepresentation
bin1010000001000001…
…0010101000000000
320221101010022100100
42200100102220000
521001242001102
61122442322400
7123424636203
oct24020225000
96841108310
102688625152
11115a727964
126304b9400
1333b033175
141b711193a
1510b089a1c
hexa0412a00

2688625152 has 60 divisors (see below), whose sum is σ = 7759567530. Its totient is φ = 896206848.

The previous prime is 2688625099. The next prime is 2688625187. The reversal of 2688625152 is 2515268862.

It is a happy number.

2688625152 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 625 + 15 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2411202816 + 277422336 = 49104^2 + 16656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2688625098 and 2688625107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 287127 + ... + 296342.

Almost surely, 22688625152 is an apocalyptic number.

It is an amenable number.

2688625152 is an abundant number, since it is smaller than the sum of its proper divisors (5070942378).

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

2688625152 is an equidigital number, since it uses as much as digits as its factorization.

2688625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583493 (or 583474 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 2688625152 is about 51851.9541772535. The cubic root of 2688625152 is about 1390.5184395304.

The spelling of 2688625152 in words is "two billion, six hundred eighty-eight million, six hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 583469 1166938 1750407 2333876 3500814 4667752 5251221 7001628 9335504 10502442 14003256 18671008 21004884 28006512 37342016 42009768 56013024 74684032 84019536 112026048 149368064 168039072 224052096 298736128 336078144 448104192 672156288 896208384 1344312576 2688625152