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676903552 = 27131723929
BaseRepresentation
bin101000010110001…
…011101010000000
31202011201021002221
4220112023222000
52341241403202
6151100220424
722526404513
oct5026135200
91664637087
10676903552
11318104726
1216a83a714
13aa313760
1465c84d7a
153e65e037
hex2858ba80

676903552 has 64 divisors (see below), whose sum is σ = 1537741800. Its totient is φ = 294027264.

The previous prime is 676903483. The next prime is 676903553. The reversal of 676903552 is 255309676.

It can be written as a sum of positive squares in 4 ways, for example, as 600446016 + 76457536 = 24504^2 + 8744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 676903499 and 676903508.

It is not an unprimeable number, because it can be changed into a prime (676903553) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16324 + ... + 40252.

Almost surely, 2676903552 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 676903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768870900).

676903552 is an abundant number, since it is smaller than the sum of its proper divisors (860838248).

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

676903552 is a wasteful number, since it uses less digits than its factorization.

676903552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23973 (or 23961 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The square root of 676903552 is about 26017.3701976199. The cubic root of 676903552 is about 878.0291430630.

The spelling of 676903552 in words is "six hundred seventy-six million, nine hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 23929 28288 47858 95716 191432 311077 382864 406793 622154 765728 813586 1244308 1531456 1627172 2488616 3062912 3254344 4977232 5288309 6508688 9954464 10576618 13017376 19908928 21153236 26034752 39817856 42306472 52069504 84612944 169225888 338451776 676903552