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4839987400 = 235243355889
BaseRepresentation
bin1001000000111110…
…00101100011001000
3110111022021211112121
410200133011203020
534403014044100
62120133421024
7230640133303
oct44037054310
913438254477
104839987400
112064057196
12b30a9a774
135c1965491
1433cb2bb3a
151d4d9a51a
hex1207c58c8

4839987400 has 48 divisors (see below), whose sum is σ = 11279160900. Its totient is φ = 1931489280.

The previous prime is 4839987371. The next prime is 4839987433. The reversal of 4839987400 is 47899384.

It can be written as a sum of positive squares in 6 ways, for example, as 1745735524 + 3094251876 = 41782^2 + 55626^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 58656 + ... + 114544.

Almost surely, 24839987400 is an apocalyptic number.

4839987400 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 4839987400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639580450).

4839987400 is an abundant number, since it is smaller than the sum of its proper divisors (6439173500).

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

4839987400 is a wasteful number, since it uses less digits than its factorization.

4839987400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56338 (or 56329 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 4839987400 is about 69570.0179675124. The cubic root of 4839987400 is about 1691.5366437581.

The spelling of 4839987400 in words is "four billion, eight hundred thirty-nine million, nine hundred eighty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 433 866 1732 2165 3464 4330 8660 10825 17320 21650 43300 55889 86600 111778 223556 279445 447112 558890 1117780 1397225 2235560 2794450 5588900 11177800 24199937 48399874 96799748 120999685 193599496 241999370 483998740 604998425 967997480 1209996850 2419993700 4839987400