Search a number
-
+
490879351920 = 243541197253229
BaseRepresentation
bin1110010010010101011…
…00000111110001110000
31201221001020002210011210
413021022230013301300
531020310103230140
61013301252040120
750315306434536
oct7111254076160
91657036083153
10490879351920
1117a1a9662611
127b176603040
133739c6a78a9
1419a89ba4156
15cb80073d80
hex724ab07c70

490879351920 has 160 divisors (see below), whose sum is σ = 1566760345920. Its totient is φ = 127059681280.

The previous prime is 490879351913. The next prime is 490879351927. The reversal of 490879351920 is 29153978094.

It is an interprime number because it is at equal distance from previous prime (490879351913) and next prime (490879351927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490879351927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811866 + ... + 2065094.

It is an arithmetic number, because the mean of its divisors is an integer number (9792252162).

Almost surely, 2490879351920 is an apocalyptic number.

490879351920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490879351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783380172960).

490879351920 is an abundant number, since it is smaller than the sum of its proper divisors (1075880994000).

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

490879351920 is a wasteful number, since it uses less digits than its factorization.

490879351920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253483 (or 253477 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 490879351920 in words is "four hundred ninety billion, eight hundred seventy-nine million, three hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 197 205 240 246 328 394 410 492 591 615 656 788 820 984 985 1182 1230 1576 1640 1968 1970 2364 2460 2955 3152 3280 3940 4728 4920 5910 7880 8077 9456 9840 11820 15760 16154 23640 24231 32308 40385 47280 48462 64616 80770 96924 121155 129232 161540 193848 242310 253229 323080 387696 484620 506458 646160 759687 969240 1012916 1266145 1519374 1938480 2025832 2532290 3038748 3798435 4051664 5064580 6077496 7596870 10129160 10382389 12154992 15193740 20258320 20764778 30387480 31147167 41529556 49886113 51911945 60774960 62294334 83059112 99772226 103823890 124588668 149658339 155735835 166118224 199544452 207647780 249177336 249430565 299316678 311471670 399088904 415295560 498354672 498861130 598633356 622943340 748291695 798177808 830591120 997722260 1197266712 1245886680 1496583390 1995444520 2045330633 2394533424 2491773360 2993166780 3990889040 4090661266 5986333560 6135991899 8181322532 10226653165 11972667120 12271983798 16362645064 20453306330 24543967596 30679959495 32725290128 40906612660 49087935192 61359918990 81813225320 98175870384 122719837980 163626450640 245439675960 490879351920