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4876234000 = 245311297643
BaseRepresentation
bin1001000101010010…
…10110110100010000
3110120211111100112021
410202221112310100
534441303442000
62123510341224
7231560206441
oct44251266420
913524440467
104876234000
112082563860
12b4105a814
135c9316781
143438852c8
151d815a11a
hex122a56d10

4876234000 has 160 divisors (see below), whose sum is σ = 13307898240. Its totient is φ = 1711808000.

The previous prime is 4876233997. The next prime is 4876234003. The reversal of 4876234000 is 4326784.

It is an interprime number because it is at equal distance from previous prime (4876233997) and next prime (4876234003).

It is not an unprimeable number, because it can be changed into a prime (4876234003) 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 31 ways as a sum of consecutive naturals, for example, 634179 + ... + 641821.

It is an arithmetic number, because the mean of its divisors is an integer number (83174364).

Almost surely, 24876234000 is an apocalyptic number.

4876234000 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 4876234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653949120).

4876234000 is an abundant number, since it is smaller than the sum of its proper divisors (8431664240).

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

4876234000 is a wasteful number, since it uses less digits than its factorization.

4876234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 4876234000 is about 69830.0365172466. The cubic root of 4876234000 is about 1695.7487779815.

The spelling of 4876234000 in words is "four billion, eight hundred seventy-six million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 125 145 176 200 220 232 250 275 290 319 400 440 464 500 550 580 638 725 880 1000 1100 1160 1276 1375 1450 1595 2000 2200 2320 2552 2750 2900 3190 3625 4400 5104 5500 5800 6380 7250 7643 7975 11000 11600 12760 14500 15286 15950 22000 25520 29000 30572 31900 38215 39875 58000 61144 63800 76430 79750 84073 122288 127600 152860 159500 168146 191075 221647 305720 319000 336292 382150 420365 443294 611440 638000 672584 764300 840730 886588 955375 1108235 1345168 1528600 1681460 1773176 1910750 2101825 2216470 2438117 3057200 3362920 3546352 3821500 4203650 4432940 4876234 5541175 6725840 7643000 8407300 8865880 9752468 10509125 11082350 12190585 15286000 16814600 17731760 19504936 21018250 22164700 24381170 27705875 33629200 39009872 42036500 44329400 48762340 55411750 60952925 84073000 88658800 97524680 110823500 121905850 168146000 195049360 221647000 243811700 304764625 443294000 487623400 609529250 975246800 1219058500 2438117000 4876234000