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38450900 = 2252384509
BaseRepresentation
bin1001001010101…
…1011011010100
32200100111201102
42102223123110
534320412100
63452045232
7644553515
oct222533324
980314642
1038450900
111a782804
1210a63818
137c73717
14516ca0c
153597cd5
hex24ab6d4

38450900 has 18 divisors (see below), whose sum is σ = 83438670. Its totient is φ = 15380320.

The previous prime is 38450869. The next prime is 38450903. The reversal of 38450900 is 905483.

38450900 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 3 ways, for example, as 85264 + 38365636 = 292^2 + 6194^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38450903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 192155 + ... + 192354.

Almost surely, 238450900 is an apocalyptic number.

It is an amenable number.

38450900 is an abundant number, since it is smaller than the sum of its proper divisors (44987770).

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

38450900 is a wasteful number, since it uses less digits than its factorization.

38450900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384523 (or 384516 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 38450900 is about 6200.8789699526. The cubic root of 38450900 is about 337.5220653155.

The spelling of 38450900 in words is "thirty-eight million, four hundred fifty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 384509 769018 1538036 1922545 3845090 7690180 9612725 19225450 38450900