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493128792 = 2332131721823
BaseRepresentation
bin11101011001001…
…000110001011000
31021100220112112100
4131121020301120
52002220110132
6120533243400
715135345162
oct3531106130
91240815470
10493128792
112333a3a62
12119193560
137b21a6b0
14496c7932
152d45c37c
hex1d648c58

493128792 has 144 divisors (see below), whose sum is σ = 1528712640. Its totient is φ = 142728192.

The previous prime is 493128791. The next prime is 493128803. The reversal of 493128792 is 297821394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493128791) 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 35 ways as a sum of consecutive naturals, for example, 269593 + ... + 271415.

It is an arithmetic number, because the mean of its divisors is an integer number (10616060).

Almost surely, 2493128792 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 493128792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764356320).

493128792 is an abundant number, since it is smaller than the sum of its proper divisors (1035583848).

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

493128792 is a wasteful number, since it uses less digits than its factorization.

493128792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1858 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 493128792 is about 22206.5033717603. The cubic root of 493128792 is about 790.0479552153.

The spelling of 493128792 in words is "four hundred ninety-three million, one hundred twenty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 289 306 312 408 442 468 578 612 663 867 884 936 1156 1224 1326 1734 1768 1823 1989 2312 2601 2652 3468 3646 3757 3978 5202 5304 5469 6936 7292 7514 7956 10404 10938 11271 14584 15028 15912 16407 20808 21876 22542 23699 30056 30991 32814 33813 43752 45084 47398 61982 65628 67626 71097 90168 92973 94796 123964 131256 135252 142194 185946 189592 213291 247928 270504 278919 284388 371892 402883 426582 526847 557838 568776 743784 805766 853164 1053694 1115676 1208649 1580541 1611532 1706328 2107388 2231352 2417298 3161082 3223064 3625947 4214776 4741623 4834596 6322164 6849011 7251894 9483246 9669192 12644328 13698022 14503788 18966492 20547033 27396044 29007576 37932984 41094066 54792088 61641099 82188132 123282198 164376264 246564396 493128792