Search a number
-
+
677608248 = 233193674049
BaseRepresentation
bin101000011000110…
…111101100111000
31202020001001202210
4220120313230320
52341431430443
6151123255120
722535401152
oct5030675470
91666031683
10677608248
11318546119
1216ab1a4a0
13aa4cc435
1465dc9ad2
153e74cc33
hex28637b38

677608248 has 64 divisors (see below), whose sum is σ = 1788480000. Its totient is φ = 213345792.

The previous prime is 677608247. The next prime is 677608289. The reversal of 677608248 is 842806776.

677608248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6776082483 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 677608197 and 677608206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677608247) 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, 165328 + ... + 169376.

It is an arithmetic number, because the mean of its divisors is an integer number (27945000).

Almost surely, 2677608248 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 677608248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894240000).

677608248 is an abundant number, since it is smaller than the sum of its proper divisors (1110871752).

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

677608248 is a wasteful number, since it uses less digits than its factorization.

677608248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 677608248 is about 26030.9094731629. The cubic root of 677608248 is about 878.3337305389. Note that the first 3 decimals are identical.

The spelling of 677608248 in words is "six hundred seventy-seven million, six hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 367 456 734 1101 1468 2202 2936 4049 4404 6973 8098 8808 12147 13946 16196 20919 24294 27892 32392 41838 48588 55784 76931 83676 97176 153862 167352 230793 307724 461586 615448 923172 1485983 1846344 2971966 4457949 5943932 8915898 11887864 17831796 28233677 35663592 56467354 84701031 112934708 169402062 225869416 338804124 677608248