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4630426000 = 245317136189
BaseRepresentation
bin1000100111111111…
…01011000110010000
3102221200222000100021
410103333223012100
533440342113000
62043250033224
7222513654154
oct42377530620
912850860307
104630426000
111a66833652
12a92878814
1358a411155
1431cd7b064
151c17a311a
hex113feb190

4630426000 has 80 divisors (see below), whose sum is σ = 11855067120. Its totient is φ = 1743206400.

The previous prime is 4630425959. The next prime is 4630426007. The reversal of 4630426000 is 6240364.

It can be written as a sum of positive squares in 8 ways, for example, as 661929984 + 3968496016 = 25728^2 + 62996^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4630426007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34095 + ... + 102094.

It is an arithmetic number, because the mean of its divisors is an integer number (148188339).

Almost surely, 24630426000 is an apocalyptic number.

4630426000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4630426000 is an abundant number, since it is smaller than the sum of its proper divisors (7224641120).

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

4630426000 is a wasteful number, since it uses less digits than its factorization.

4630426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136229 (or 136213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4630426000 is about 68047.2335954960. The cubic root of 4630426000 is about 1666.7622256321.

Adding to 4630426000 its reverse (6240364), we get a palindrome (4636666364).

The spelling of 4630426000 in words is "four billion, six hundred thirty million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 136189 272378 544756 680945 1089512 1361890 2179024 2315213 2723780 3404725 4630426 5447560 6809450 9260852 10895120 11576065 13618900 17023625 18521704 23152130 27237800 34047250 37043408 46304260 54475600 57880325 68094500 92608520 115760650 136189000 185217040 231521300 272378000 289401625 463042600 578803250 926085200 1157606500 2315213000 4630426000