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493879900 = 2252101107457
BaseRepresentation
bin11101011100000…
…000001001011100
31021102022200212011
4131130000021130
52002413124100
6121001321004
715144624043
oct3534001134
91242280764
10493879900
11233867308
12119496164
137b421537
144984155a
152d559bba
hex1d70025c

493879900 has 72 divisors (see below), whose sum is σ = 1094836176. Its totient is φ = 193344000.

The previous prime is 493879873. The next prime is 493879913. The reversal of 493879900 is 9978394.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080472 + ... + 1080928.

It is an arithmetic number, because the mean of its divisors is an integer number (15206058).

Almost surely, 2493879900 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 493879900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547418088).

493879900 is an abundant number, since it is smaller than the sum of its proper divisors (600956276).

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

493879900 is a wasteful number, since it uses less digits than its factorization.

493879900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 493879900 is about 22223.4088294303. The cubic root of 493879900 is about 790.4488716489.

The spelling of 493879900 in words is "four hundred ninety-three million, eight hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 107 202 214 404 428 457 505 535 914 1010 1070 1828 2020 2140 2285 2525 2675 4570 5050 5350 9140 10100 10700 10807 11425 21614 22850 43228 45700 46157 48899 54035 92314 97798 108070 184628 195596 216140 230785 244495 270175 461570 488990 540350 923140 977980 1080700 1153925 1222475 2307850 2444950 4615700 4889900 4938799 9877598 19755196 24693995 49387990 98775980 123469975 246939950 493879900