Search a number
-
+
677652128 = 25231098447
BaseRepresentation
bin101000011001000…
…010011010100000
31202020010021221222
4220121002122200
52341434332003
6151124234212
722535643116
oct5031023240
91666107858
10677652128
1131857608a
1216ab3b968
13aa5163ba
1465ddbab6
153e75ac38
hex286426a0

677652128 has 48 divisors (see below), whose sum is σ = 1405071360. Its totient is φ = 321083136.

The previous prime is 677652121. The next prime is 677652167. The reversal of 677652128 is 821256776.

It is not an unprimeable number, because it can be changed into a prime (677652121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76001 + ... + 84447.

It is an arithmetic number, because the mean of its divisors is an integer number (29272320).

Almost surely, 2677652128 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 677652128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).

677652128 is an abundant number, since it is smaller than the sum of its proper divisors (727419232).

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

677652128 is a wasteful number, since it uses less digits than its factorization.

677652128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8589 (or 8581 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 677652128 is about 26031.7523036771. The cubic root of 677652128 is about 878.3526896018.

The spelling of 677652128 in words is "six hundred seventy-seven million, six hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 109 184 218 368 436 736 872 1744 2507 3488 5014 8447 10028 16894 20056 33788 40112 67576 80224 135152 194281 270304 388562 777124 920723 1554248 1841446 3108496 3682892 6216992 7365784 14731568 21176629 29463136 42353258 84706516 169413032 338826064 677652128