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4864375300 = 2252413533361
BaseRepresentation
bin1001000011111000…
…00111101000000100
3110120000011212110011
410201330013220010
534430240002200
62122404240004
7231354336121
oct44174075004
913500155404
104864375300
1120768a4184
12b390a0004
135c6a23ba5
14342079748
151d70b65ba
hex121f07a04

4864375300 has 72 divisors (see below), whose sum is σ = 10847008872. Its totient is φ = 1892352000.

The previous prime is 4864375283. The next prime is 4864375319. The reversal of 4864375300 is 35734684.

It can be written as a sum of positive squares in 12 ways, for example, as 2176782336 + 2687592964 = 46656^2 + 51842^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1445620 + ... + 1448980.

It is an arithmetic number, because the mean of its divisors is an integer number (150652901).

Almost surely, 24864375300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4864375300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423504436).

4864375300 is an abundant number, since it is smaller than the sum of its proper divisors (5982633572).

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

4864375300 is a wasteful number, since it uses less digits than its factorization.

4864375300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 4864375300 is about 69745.0736611555. The cubic root of 4864375300 is about 1694.3730100097.

The spelling of 4864375300 in words is "four billion, eight hundred sixty-four million, three hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 353 410 706 820 1025 1412 1765 2050 3361 3530 4100 6722 7060 8825 13444 14473 16805 17650 28946 33610 35300 57892 67220 72365 84025 137801 144730 168050 275602 289460 336100 361825 551204 689005 723650 1186433 1378010 1447300 2372866 2756020 3445025 4745732 5932165 6890050 11864330 13780100 23728660 29660825 48643753 59321650 97287506 118643300 194575012 243218765 486437530 972875060 1216093825 2432187650 4864375300