Search a number
-
+
385038507960 = 23335472251643
BaseRepresentation
bin1011001101001100001…
…01010101111110111000
31100210211222212211022000
411212212011111332320
522302024324223320
6452514555301000
736550420213461
oct5464605257670
91323758784260
10385038507960
11139326221a47
126275874a760
132a402a85982
14148c9123d68
15a03818dc90
hex59a6155fb8

385038507960 has 384 divisors, whose sum is σ = 1318622457600. Its totient is φ = 99936288000.

The previous prime is 385038507929. The next prime is 385038507979. The reversal of 385038507960 is 69705830583.

It is a happy number.

385038507960 is a `hidden beast` number, since 3 + 8 + 503 + 8 + 5 + 0 + 79 + 60 = 666.

385038507960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3850385079602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 385038507897 and 385038507906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 598815399 + ... + 598816041.

It is an arithmetic number, because the mean of its divisors is an integer number (3433912650).

Almost surely, 2385038507960 is an apocalyptic number.

385038507960 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 385038507960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659311228800).

385038507960 is an abundant number, since it is smaller than the sum of its proper divisors (933583949640).

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

385038507960 is a wasteful number, since it uses less digits than its factorization.

385038507960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 385038507960 in words is "three hundred eighty-five billion, thirty-eight million, five hundred seven thousand, nine hundred sixty".