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673768992 = 253132323473
BaseRepresentation
bin101000001010001…
…110011000100000
31201221211000022010
4220022032120200
52334441101432
6150505112520
722460641041
oct5012163040
91657730263
10673768992
11316363686
12169788740
13a9786aa0
14656aa8c8
153e2403cc
hex2828e620

673768992 has 96 divisors (see below), whose sum is σ = 1987590528. Its totient is φ = 198291456.

The previous prime is 673768987. The next prime is 673768993. The reversal of 673768992 is 299867376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (673768993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16968 + ... + 40440.

It is an arithmetic number, because the mean of its divisors is an integer number (20704068).

Almost surely, 2673768992 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 673768992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993795264).

673768992 is an abundant number, since it is smaller than the sum of its proper divisors (1313821536).

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

673768992 is a wasteful number, since it uses less digits than its factorization.

673768992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23522 (or 23514 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 57.

The square root of 673768992 is about 25957.0605423650. The cubic root of 673768992 is about 876.6717393015.

The spelling of 673768992 in words is "six hundred seventy-three million, seven hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 9568 14352 23473 28704 46946 70419 93892 140838 187784 281676 305149 375568 539879 563352 610298 751136 915447 1079758 1126704 1220596 1619637 1830894 2159516 2253408 2441192 3239274 3661788 4319032 4882384 6478548 7018427 7323576 8638064 9764768 12957096 14036854 14647152 17276128 21055281 25914192 28073708 29294304 42110562 51828384 56147416 84221124 112294832 168442248 224589664 336884496 673768992