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673894848 = 263112313873
BaseRepresentation
bin101000001010101…
…101000111000000
31201222001101221110
4220022231013000
52340004113343
6150511523320
722462004004
oct5012550700
91658041843
10673894848
1131643a1a0
12169829540
13a97cc163
1465700704
153e267833
hex282ad1c0

673894848 has 112 divisors (see below), whose sum is σ = 2029821696. Its totient is φ = 195317760.

The previous prime is 673894847. The next prime is 673894849. The reversal of 673894848 is 848498376.

It is an interprime number because it is at equal distance from previous prime (673894847) and next prime (673894849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673894847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41640 + ... + 55512.

It is an arithmetic number, because the mean of its divisors is an integer number (18123408).

Almost surely, 2673894848 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 673894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014910848).

673894848 is an abundant number, since it is smaller than the sum of its proper divisors (1355926848).

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

673894848 is a wasteful number, since it uses less digits than its factorization.

673894848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922 (or 13912 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 673894848 is about 25959.4847406492. The cubic root of 673894848 is about 876.7263215745.

The spelling of 673894848 in words is "six hundred seventy-three million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 13873 16192 24288 27746 41619 48576 55492 83238 110984 152603 166476 221968 305206 319079 332952 443936 457809 610412 638158 665904 887872 915618 957237 1220824 1276316 1331808 1831236 1914474 2441648 2552632 2663616 3509869 3662472 3828948 4883296 5105264 7019738 7324944 7657896 9766592 10210528 10529607 14039476 14649888 15315792 20421056 21059214 28078952 29299776 30631584 42118428 56157904 61263168 84236856 112315808 168473712 224631616 336947424 673894848