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686465364 = 2231319312241
BaseRepresentation
bin101000111010101…
…010000101010100
31202211201001110010
4220322222011110
52401213342424
6152041200220
723003600514
oct5072520524
91684631403
10686465364
11322545652
12171a90070
13ac2b0a30
1467253844
15403ec229
hex28eaa154

686465364 has 144 divisors (see below), whose sum is σ = 1883999040. Its totient is φ = 192844800.

The previous prime is 686465363. The next prime is 686465393. The reversal of 686465364 is 463564686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686465363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2848284 + ... + 2848524.

Almost surely, 2686465364 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 686465364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941999520).

686465364 is an abundant number, since it is smaller than the sum of its proper divisors (1197533676).

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

686465364 is a wasteful number, since it uses less digits than its factorization.

686465364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 309 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 686465364 is about 26200.4840413302. The cubic root of 686465364 is about 882.1441190651.

The spelling of 686465364 in words is "six hundred eighty-six million, four hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 186 228 241 247 372 403 482 494 589 723 741 806 961 964 988 1178 1209 1446 1482 1612 1767 1922 2356 2418 2883 2892 2964 3133 3534 3844 4579 4836 5766 6266 7068 7471 7657 9158 9399 11532 12493 12532 13737 14942 15314 18259 18316 18798 22413 22971 24986 27474 29884 30628 36518 37479 37596 44826 45942 49972 54777 54948 59527 73036 74958 89652 91884 97123 109554 119054 141949 149916 178581 194246 219108 231601 237367 238108 283898 291369 357162 388492 425847 463202 474734 567796 582738 694803 712101 714324 851694 926404 949468 1165476 1389606 1424202 1703388 1845337 2779212 2848404 3010813 3690674 4400419 5536011 6021626 7381348 8800838 9032439 11072022 12043252 13201257 17601676 18064878 22144044 26402514 36129756 52805028 57205447 114410894 171616341 228821788 343232682 686465364