Search a number
-
+
4525600000 = 28555657
BaseRepresentation
bin1000011011011111…
…10010110100000000
3102200101201022002211
410031233302310000
533232023200000
62025023151504
7220101652045
oct41557626400
912611638084
104525600000
111a12646299
12a63745594
1357179ab2c
1430d0911cc
151b74987ba
hex10dbf2d00

4525600000 has 108 divisors (see below), whose sum is σ = 11293175628. Its totient is φ = 1809920000.

The previous prime is 4525599979. The next prime is 4525600003. The reversal of 4525600000 is 65254.

It can be written as a sum of positive squares in 6 ways, for example, as 4349666304 + 175933696 = 65952^2 + 13264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4525600003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 797172 + ... + 802828.

It is an arithmetic number, because the mean of its divisors is an integer number (104566441).

Almost surely, 24525600000 is an apocalyptic number.

4525600000 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 4525600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646587814).

4525600000 is an abundant number, since it is smaller than the sum of its proper divisors (6767575628).

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

4525600000 is an frugal number, since it uses more digits than its factorization.

4525600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 4525600000 is about 67272.5798524183. The cubic root of 4525600000 is about 1654.0884225804.

Adding to 4525600000 its reverse (65254), we get a palindrome (4525665254).

The spelling of 4525600000 in words is "four billion, five hundred twenty-five million, six hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 5657 6250 6400 8000 10000 11314 12500 16000 20000 22628 25000 28285 32000 40000 45256 50000 56570 80000 90512 100000 113140 141425 160000 181024 200000 226280 282850 362048 400000 452560 565700 707125 724096 800000 905120 1131400 1414250 1448192 1810240 2262800 2828500 3535625 3620480 4525600 5657000 7071250 7240960 9051200 11314000 14142500 17678125 18102400 22628000 28285000 35356250 36204800 45256000 56570000 70712500 90512000 113140000 141425000 181024000 226280000 282850000 452560000 565700000 905120000 1131400000 2262800000 4525600000