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385263136 = 25471272017
BaseRepresentation
bin10110111101101…
…010011000100000
3222211221101200001
4112331222120200
51242111410021
6102121305344
712355453066
oct2675523040
9884841601
10385263136
1118851a995
12a9035254
1361a8196b
143924a036
1523c52091
hex16f6a620

385263136 has 48 divisors (see below), whose sum is σ = 781111296. Its totient is φ = 186955776.

The previous prime is 385263127. The next prime is 385263143. The reversal of 385263136 is 631362583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 385263095 and 385263104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190000 + ... + 192016.

It is an arithmetic number, because the mean of its divisors is an integer number (16273152).

Almost surely, 2385263136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385263136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390555648).

385263136 is an abundant number, since it is smaller than the sum of its proper divisors (395848160).

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

385263136 is a wasteful number, since it uses less digits than its factorization.

385263136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2193 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 385263136 is about 19628.1210511857. The cubic root of 385263136 is about 727.6443337738.

The spelling of 385263136 in words is "three hundred eighty-five million, two hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 94 127 188 254 376 508 752 1016 1504 2017 2032 4034 4064 5969 8068 11938 16136 23876 32272 47752 64544 94799 95504 189598 191008 256159 379196 512318 758392 1024636 1516784 2049272 3033568 4098544 8197088 12039473 24078946 48157892 96315784 192631568 385263136