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386113536 = 213325237
BaseRepresentation
bin10111000000111…
…010000000000000
3222220112121012100
4113000322000000
51242321113121
6102151430400
712365624304
oct2700720000
9886477170
10386113536
11188a508a6
12a9385400
1361cbba63
14393cbd04
1523d6e026
hex1703a000

386113536 has 84 divisors (see below), whose sum is σ = 1115584002. Its totient is φ = 128679936.

The previous prime is 386113529. The next prime is 386113543. The reversal of 386113536 is 635311683.

It is a happy number.

386113536 is a `hidden beast` number, since 3 + 8 + 6 + 113 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (386113529) and next prime (386113543).

It can be written as a sum of positive squares in only one way, i.e., 266342400 + 119771136 = 16320^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 386113536.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71110 + ... + 76346.

Almost surely, 2386113536 is an apocalyptic number.

386113536 is a gapful number since it is divisible by the number (36) 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 386113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557792001).

386113536 is an abundant number, since it is smaller than the sum of its proper divisors (729470466).

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

386113536 is an equidigital number, since it uses as much as digits as its factorization.

386113536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5242 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 386113536 is about 19649.7719070731. The cubic root of 386113536 is about 728.1793222465.

The spelling of 386113536 in words is "three hundred eighty-six million, one hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 5237 6144 8192 9216 10474 12288 15711 18432 20948 24576 31422 36864 41896 47133 62844 73728 83792 94266 125688 167584 188532 251376 335168 377064 502752 670336 754128 1005504 1340672 1508256 2011008 2681344 3016512 4022016 5362688 6033024 8044032 10725376 12066048 16088064 21450752 24132096 32176128 42901504 48264192 64352256 96528384 128704512 193056768 386113536