Search a number
-
+
677898368 = 2776179157
BaseRepresentation
bin101000011001111…
…110100010000000
31202020120210201222
4220121332202000
52342020221433
6151133414212
722541020040
oct5031764200
91666523658
10677898368
11318724094
1216b03a368
13aa5a14c4
1466063720
153e7a8b98
hex2867e880

677898368 has 128 divisors (see below), whose sum is σ = 1598707200. Its totient is φ = 280350720.

The previous prime is 677898337. The next prime is 677898401. The reversal of 677898368 is 863898776.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 677898368.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4317746 + ... + 4317902.

It is an arithmetic number, because the mean of its divisors is an integer number (12489900).

Almost surely, 2677898368 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 677898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799353600).

677898368 is an abundant number, since it is smaller than the sum of its proper divisors (920808832).

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

677898368 is a wasteful number, since it uses less digits than its factorization.

677898368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 62.

The square root of 677898368 is about 26036.4814827196. The cubic root of 677898368 is about 878.4590663917.

The spelling of 677898368 in words is "six hundred seventy-seven million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 79 112 122 128 157 158 224 244 314 316 427 448 488 553 628 632 854 896 976 1099 1106 1256 1264 1708 1952 2198 2212 2512 2528 3416 3904 4396 4424 4819 5024 5056 6832 7808 8792 8848 9577 9638 10048 10112 12403 13664 17584 17696 19154 19276 20096 24806 27328 33733 35168 35392 38308 38552 49612 54656 67039 67466 70336 70784 76616 77104 86821 99224 134078 134932 140672 153232 154208 173642 198448 268156 269864 306464 308416 347284 396896 536312 539728 612928 616832 694568 756583 793792 1072624 1079456 1225856 1389136 1513166 1587584 2145248 2158912 2778272 3026332 4290496 4317824 5296081 5556544 6052664 8580992 10592162 11113088 12105328 21184324 24210656 42368648 48421312 84737296 96842624 169474592 338949184 677898368