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677949472 = 25232291381
BaseRepresentation
bin101000011010001…
…011000000100000
31202020200101211201
4220122023000200
52342023340342
6151134450544
722541322034
oct5032130040
91666611751
10677949472
11318759522
1216b063a54
13aa5bb845
14660781c4
153e7b8db7
hex2868b020

677949472 has 72 divisors (see below), whose sum is σ = 1444424940. Its totient is φ = 312829440.

The previous prime is 677949463. The next prime is 677949487. The reversal of 677949472 is 274949776.

It can be written as a sum of positive squares in 2 ways, for example, as 677873296 + 76176 = 26036^2 + 276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490222 + ... + 491602.

Almost surely, 2677949472 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 677949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722212470).

677949472 is an abundant number, since it is smaller than the sum of its proper divisors (766475468).

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

677949472 is a wasteful number, since it uses less digits than its factorization.

677949472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1435 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 55.

The square root of 677949472 is about 26037.4628564305. The cubic root of 677949472 is about 878.4811403221.

The spelling of 677949472 in words is "six hundred seventy-seven million, nine hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 232 368 464 529 667 736 928 1058 1334 1381 2116 2668 2762 4232 5336 5524 8464 10672 11048 15341 16928 21344 22096 30682 31763 40049 44192 61364 63526 80098 122728 127052 160196 245456 254104 320392 490912 508208 640784 730549 921127 1016416 1281568 1461098 1842254 2922196 3684508 5844392 7369016 11688784 14738032 21185921 23377568 29476064 42371842 84743684 169487368 338974736 677949472