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684892416 = 28313181379
BaseRepresentation
bin101000110100101…
…010000100000000
31202201202010202210
4220310222010000
52400313024131
6151543342120
722654326615
oct5064520400
91681663683
10684892416
1132167089a
12171451940
13abb7cab0
1466d6450c
15401db146
hex28d2a100

684892416 has 144 divisors (see below), whose sum is σ = 1979082560. Its totient is φ = 209018880.

The previous prime is 684892409. The next prime is 684892421. The reversal of 684892416 is 614298486.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1806915 + ... + 1807293.

Almost surely, 2684892416 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 684892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989541280).

684892416 is an abundant number, since it is smaller than the sum of its proper divisors (1294190144).

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

684892416 is a wasteful number, since it uses less digits than its factorization.

684892416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 578 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 684892416 is about 26170.4492892270. The cubic root of 684892416 is about 881.4698301338.

The spelling of 684892416 in words is "six hundred eighty-four million, eight hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 181 192 208 256 312 362 379 384 416 543 624 724 758 768 832 1086 1137 1248 1448 1516 1664 2172 2274 2353 2496 2896 3032 3328 4344 4548 4706 4927 4992 5792 6064 7059 8688 9096 9412 9854 9984 11584 12128 14118 14781 17376 18192 18824 19708 23168 24256 28236 29562 34752 36384 37648 39416 46336 48512 56472 59124 68599 69504 72768 75296 78832 97024 112944 118248 137198 139008 145536 150592 157664 205797 225888 236496 274396 291072 301184 315328 411594 451776 472992 548792 602368 630656 823188 891787 903552 945984 1097584 1261312 1646376 1783574 1807104 1891968 2195168 2675361 3292752 3567148 3783936 4390336 5350722 6585504 7134296 8780672 10701444 13171008 14268592 17561344 21402888 26342016 28537184 42805776 52684032 57074368 85611552 114148736 171223104 228297472 342446208 684892416