Search a number
-
+
673796772 = 2233111929851
BaseRepresentation
bin101000001010010…
…101001010100100
31201221212102102000
4220022111022210
52334442444042
6150505445300
722461115035
oct5012251244
91657772360
10673796772
11316382540
121697a0830
13a979661c
14656b6a8c
153e24874c
hex282952a4

673796772 has 96 divisors (see below), whose sum is σ = 2006054400. Its totient is φ = 193428000.

The previous prime is 673796771. The next prime is 673796777. The reversal of 673796772 is 277697376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (673796771) 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 31 ways as a sum of consecutive naturals, for example, 7647 + ... + 37497.

It is an arithmetic number, because the mean of its divisors is an integer number (20896400).

Almost surely, 2673796772 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 673796772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003027200).

673796772 is an abundant number, since it is smaller than the sum of its proper divisors (1332257628).

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

673796772 is a wasteful number, since it uses less digits than its factorization.

673796772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29894 (or 29886 counting only the distinct ones).

The product of its digits is 4667544, while the sum is 54.

The square root of 673796772 is about 25957.5956513696. The cubic root of 673796772 is about 876.6837877467.

The spelling of 673796772 in words is "six hundred seventy-three million, seven hundred ninety-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 7524 11286 22572 29851 59702 89553 119404 179106 268659 328361 358212 537318 567169 656722 805977 985083 1074636 1134338 1313444 1611954 1701507 1970166 2268676 2955249 3223908 3403014 3940332 5104521 5910498 6238859 6806028 8865747 10209042 11820996 12477718 15313563 17731494 18716577 20418084 24955436 30627126 35462988 37433154 56149731 61254252 74866308 112299462 168449193 224598924 336898386 673796772