Search a number
-
+
38825498700 = 2232521929591327
BaseRepresentation
bin100100001010001011…
…100001100001001100
310201012211000200121100
4210022023201201030
51114003311424300
625500341103100
72543063202522
oct441213414114
9121184020540
1038825498700
1115513a8890a
1276366b7a90
133879948291
141c445d8312
151023836700
hex90a2e184c

38825498700 has 432 divisors, whose sum is σ = 134866368000. Its totient is φ = 9302791680.

The previous prime is 38825498693. The next prime is 38825498717. The reversal of 38825498700 is 789452883.

It is a happy number.

38825498700 is a `hidden beast` number, since 3 + 8 + 82 + 5 + 498 + 70 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 29257437 + ... + 29258763.

Almost surely, 238825498700 is an apocalyptic number.

38825498700 is a gapful number since it is divisible by the number (30) 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 38825498700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67433184000).

38825498700 is an abundant number, since it is smaller than the sum of its proper divisors (96040869300).

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

38825498700 is a wasteful number, since it uses less digits than its factorization.

38825498700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 38825498700 in words is "thirty-eight billion, eight hundred twenty-five million, four hundred ninety-eight thousand, seven hundred".