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4817430940 = 2257712412011
BaseRepresentation
bin1000111110010010…
…00010100110011100
3110102201211211220011
410133021002212130
534331230242230
62114010133004
7230244326110
oct43711024634
913381754804
104817430940
112052350193
12b25421164
135ba09856a
14339b39740
151d2de1e2a
hex11f24299c

4817430940 has 96 divisors (see below), whose sum is σ = 11779181568. Its totient is φ = 1620864000.

The previous prime is 4817430901. The next prime is 4817430953. The reversal of 4817430940 is 490347184.

It is a junction number, because it is equal to n+sod(n) for n = 4817430893 and 4817430902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394535 + ... + 2396545.

It is an arithmetic number, because the mean of its divisors is an integer number (122699808).

Almost surely, 24817430940 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 4817430940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889590784).

4817430940 is an abundant number, since it is smaller than the sum of its proper divisors (6961750628).

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

4817430940 is a wasteful number, since it uses less digits than its factorization.

4817430940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 4817430940 is about 69407.7152771938. The cubic root of 4817430940 is about 1688.9047838961.

The spelling of 4817430940 in words is "four billion, eight hundred seventeen million, four hundred thirty thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 241 284 355 482 497 710 964 994 1205 1420 1687 1988 2011 2410 2485 3374 4022 4820 4970 6748 8044 8435 9940 10055 14077 16870 17111 20110 28154 33740 34222 40220 56308 68444 70385 85555 119777 140770 142781 171110 239554 281540 285562 342220 479108 484651 571124 598885 713905 969302 999467 1197770 1427810 1938604 1998934 2395540 2423255 2855620 3392557 3997868 4846510 4997335 6785114 9693020 9994670 13570228 16962785 19989340 33925570 34410221 67851140 68820442 137640884 172051105 240871547 344102210 481743094 688204420 963486188 1204357735 2408715470 4817430940