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676375272 = 23347011489
BaseRepresentation
bin101000010100001…
…010101011101000
31202010201102110000
4220110022223220
52341123002042
6151041023000
722522044366
oct5024125350
91663642400
10676375272
11317883831
1216a624a60
13aa18a171
1465b88636
153e5a774c
hex2850aae8

676375272 has 80 divisors (see below), whose sum is σ = 1898453700. Its totient is φ = 224985600.

The previous prime is 676375253. The next prime is 676375291. The reversal of 676375272 is 272573676.

676375272 is a `hidden beast` number, since 6 + 7 + 6 + 375 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (676375253) and next prime (676375291).

It can be written as a sum of positive squares in 2 ways, for example, as 674648676 + 1726596 = 25974^2 + 1314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 453504 + ... + 454992.

Almost surely, 2676375272 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 676375272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949226850).

676375272 is an abundant number, since it is smaller than the sum of its proper divisors (1222078428).

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

676375272 is a wasteful number, since it uses less digits than its factorization.

676375272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2195 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 676375272 is about 26007.2157679364. The cubic root of 676375272 is about 877.8006683889.

The spelling of 676375272 in words is "six hundred seventy-six million, three hundred seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 701 1402 1489 2103 2804 2978 4206 4467 5608 5956 6309 8412 8934 11912 12618 13401 16824 17868 18927 25236 26802 35736 37854 40203 50472 53604 56781 75708 80406 107208 113562 120609 151416 160812 227124 241218 321624 454248 482436 964872 1043789 2087578 3131367 4175156 6262734 8350312 9394101 12525468 18788202 25050936 28182303 37576404 56364606 75152808 84546909 112729212 169093818 225458424 338187636 676375272