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673480656 = 24343491489
BaseRepresentation
bin101000001001000…
…111111111010000
31201221021100210000
4220021013333100
52334402340111
6150455010000
722455330312
oct5011077720
91657240700
10673480656
11316186a92
12169669900
13a96b5784
14656337b2
153e1d4c56
hex28247fd0

673480656 has 100 divisors (see below), whose sum is σ = 1956146500. Its totient is φ = 223699968.

The previous prime is 673480607. The next prime is 673480657. The reversal of 673480656 is 656084376.

It can be written as a sum of positive squares in 2 ways, for example, as 316270656 + 357210000 = 17784^2 + 18900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673480657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 451560 + ... + 453048.

It is an arithmetic number, because the mean of its divisors is an integer number (19561465).

Almost surely, 2673480656 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 673480656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978073250).

673480656 is an abundant number, since it is smaller than the sum of its proper divisors (1282665844).

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

673480656 is a wasteful number, since it uses less digits than its factorization.

673480656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 673480656 is about 25951.5058522622. The cubic root of 673480656 is about 876.5466657267.

The spelling of 673480656 in words is "six hundred seventy-three million, four hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 349 432 648 698 1047 1296 1396 1489 2094 2792 2978 3141 4188 4467 5584 5956 6282 8376 8934 9423 11912 12564 13401 16752 17868 18846 23824 25128 26802 28269 35736 37692 40203 50256 53604 56538 71472 75384 80406 107208 113076 120609 150768 160812 214416 226152 241218 321624 452304 482436 519661 643248 964872 1039322 1558983 1929744 2078644 3117966 4157288 4676949 6235932 8314576 9353898 12471864 14030847 18707796 24943728 28061694 37415592 42092541 56123388 74831184 84185082 112246776 168370164 224493552 336740328 673480656