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685995648 = 273131311049
BaseRepresentation
bin101000111000110…
…111011010000000
31202210211012010020
4220320313122000
52401103330043
6152023133440
722666603212
oct5070673200
91683735106
10685995648
11322254758
121718a4280
13ac177cb0
14671705b2
1540357e83
hex28e37680

685995648 has 128 divisors (see below), whose sum is σ = 1979208000. Its totient is φ = 209264640.

The previous prime is 685995637. The next prime is 685995649. The reversal of 685995648 is 846599586.

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

It is a junction number, because it is equal to n+sod(n) for n = 685995591 and 685995600.

It is not an unprimeable number, because it can be changed into a prime (685995649) 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 15 ways as a sum of consecutive naturals, for example, 653428 + ... + 654476.

Almost surely, 2685995648 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 685995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989604000).

685995648 is an abundant number, since it is smaller than the sum of its proper divisors (1293212352).

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

685995648 is a wasteful number, since it uses less digits than its factorization.

685995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1198 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The square root of 685995648 is about 26191.5186272198. The cubic root of 685995648 is about 881.9428698965.

It can be divided in two parts, 68599 and 5648, that added together give a palindrome (74247).

The spelling of 685995648 in words is "six hundred eighty-five million, nine hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 131 156 192 208 262 312 384 393 416 524 624 786 832 1048 1049 1248 1572 1664 1703 2096 2098 2496 3144 3147 3406 4192 4196 4992 5109 6288 6294 6812 8384 8392 10218 12576 12588 13624 13637 16768 16784 20436 25152 25176 27248 27274 33568 40872 40911 50304 50352 54496 54548 67136 81744 81822 100704 108992 109096 134272 137419 163488 163644 201408 217984 218192 274838 326976 327288 402816 412257 436384 549676 653952 654576 824514 872768 1099352 1309152 1649028 1745536 1786447 2198704 2618304 3298056 3572894 4397408 5236608 5359341 6596112 7145788 8794816 10718682 13192224 14291576 17589632 21437364 26384448 28583152 42874728 52768896 57166304 85749456 114332608 171498912 228665216 342997824 685995648