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4897280000 = 212541913
BaseRepresentation
bin1001000111110011…
…01001000000000000
3110122022002121012202
410203321221000000
540012200430000
62125541412332
7232234123154
oct44371510000
913568077182
104897280000
112093428a48
12b4810a0a8
136007a5022
143465a3064
151d9e15dd5
hex123e69000

4897280000 has 130 divisors (see below), whose sum is σ = 12244185294. Its totient is φ = 1957888000.

The previous prime is 4897279997. The next prime is 4897280023. The reversal of 4897280000 is 827984.

It can be written as a sum of positive squares in 5 ways, for example, as 995528704 + 3901751296 = 31552^2 + 62464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559044 + ... + 2560956.

Almost surely, 24897280000 is an apocalyptic number.

4897280000 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 4897280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122092647).

4897280000 is an abundant number, since it is smaller than the sum of its proper divisors (7346905294).

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

4897280000 is an frugal number, since it uses more digits than its factorization.

4897280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 4897280000 is about 69980.5687316129. The cubic root of 4897280000 is about 1698.1849139376.

The spelling of 4897280000 in words is "four billion, eight hundred ninety-seven million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 1913 2000 2048 2500 2560 3200 3826 4000 4096 5000 5120 6400 7652 8000 9565 10000 10240 12800 15304 16000 19130 20000 20480 25600 30608 32000 38260 40000 47825 51200 61216 64000 76520 80000 95650 102400 122432 128000 153040 160000 191300 239125 244864 256000 306080 320000 382600 478250 489728 512000 612160 640000 765200 956500 979456 1195625 1224320 1280000 1530400 1913000 1958912 2391250 2448640 2560000 3060800 3826000 3917824 4782500 4897280 6121600 7652000 7835648 9565000 9794560 12243200 15304000 19130000 19589120 24486400 30608000 38260000 39178240 48972800 61216000 76520000 97945600 122432000 153040000 195891200 244864000 306080000 489728000 612160000 979456000 1224320000 2448640000 4897280000