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4809422500 = 2254192732
BaseRepresentation
bin1000111101010100…
…11111011010100100
3110102011202222101021
410132222133122210
534322203010000
62113122340524
7230116262641
oct43652373244
913364688337
104809422500
112048880343
12b227ba744
135b852333c
14338a52dc8
151d235e11a
hex11ea9f6a4

4809422500 has 135 divisors (see below), whose sum is σ = 11254054581. Its totient is φ = 1797552000.

The previous prime is 4809422483. The next prime is 4809422507. The reversal of 4809422500 is 52249084.

The square root of 4809422500 is 69350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3411260836 + 1398161664 = 58406^2 + 37392^2 .

It is a super-3 number, since 3×48094225003 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4809422507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65882464 + ... + 65882536.

Almost surely, 24809422500 is an apocalyptic number.

4809422500 is the 69350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4809422500

4809422500 is an abundant number, since it is smaller than the sum of its proper divisors (6444632081).

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

4809422500 is an equidigital number, since it uses as much as digits as its factorization.

4809422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The cubic root of 4809422500 is about 1687.9683930688.

The spelling of 4809422500 in words is "four billion, eight hundred nine million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 73 76 95 100 125 146 190 250 292 361 365 380 475 500 625 722 730 950 1250 1387 1444 1460 1805 1825 1900 2375 2500 2774 3610 3650 4750 5329 5548 6935 7220 7300 9025 9125 9500 10658 11875 13870 18050 18250 21316 23750 26353 26645 27740 34675 36100 36500 45125 45625 47500 52706 53290 69350 90250 91250 101251 105412 106580 131765 133225 138700 173375 180500 182500 202502 225625 263530 266450 346750 405004 451250 506255 527060 532900 658825 666125 693500 866875 902500 1012510 1317650 1332250 1733750 1923769 2025020 2531275 2635300 2664500 3294125 3330625 3467500 3847538 5062550 6588250 6661250 7695076 9618845 10125100 12656375 13176500 13322500 16470625 19237690 25312750 32941250 38475380 48094225 50625500 63281875 65882500 96188450 126563750 192376900 240471125 253127500 480942250 961884500 1202355625 2404711250 4809422500