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2738428900 = 225252332
BaseRepresentation
bin1010001100111001…
…0001101111100100
321001211211121020121
42203032101233210
521102014211100
61131422011324
7124601155504
oct24316215744
97054747217
102738428900
111185854189
12645116b44
1334845013c
141bd997a04
1511062651a
hexa3391be4

2738428900 has 27 divisors (see below), whose sum is σ = 5943526491. Its totient is φ = 1095162240.

The previous prime is 2738428883. The next prime is 2738428933. The reversal of 2738428900 is 98248372.

It is a happy number.

The square root of 2738428900 is 52330.

It is a perfect power (a square), and thus also a powerful number.

2738428900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 517380516 + 2221048384 = 22746^2 + 47128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 520684 + ... + 525916.

Almost surely, 22738428900 is an apocalyptic number.

2738428900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2738428900 is the 52330-th square number.

It is an amenable number.

2738428900 is an abundant number, since it is smaller than the sum of its proper divisors (3205097591).

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

2738428900 is an frugal number, since it uses more digits than its factorization.

2738428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10480 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The cubic root of 2738428900 is about 1399.0518920810.

The spelling of 2738428900 in words is "two billion, seven hundred thirty-eight million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5233 10466 20932 26165 52330 104660 130825 261650 523300 27384289 54768578 109537156 136921445 273842890 547685780 684607225 1369214450 2738428900