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386132838 = 237213313259
BaseRepresentation
bin10111000000111…
…110101101100110
3222220120120200020
4113000332231212
51242322222323
6102152100010
712366034500
oct2700765546
9886516606
10386132838
11188a64353
12a9394606
1361cc7790
14393d4d70
1523d74ae3
hex1703eb66

386132838 has 96 divisors (see below), whose sum is σ = 998968320. Its totient is φ = 98521920.

The previous prime is 386132833. The next prime is 386132881. The reversal of 386132838 is 838231683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 386132838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386132833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116853 + ... + 120111.

It is an arithmetic number, because the mean of its divisors is an integer number (10405920).

Almost surely, 2386132838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386132838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499484160).

386132838 is an abundant number, since it is smaller than the sum of its proper divisors (612835482).

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

386132838 is a wasteful number, since it uses less digits than its factorization.

386132838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3315 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 386132838 is about 19650.2630516744. The cubic root of 386132838 is about 728.1914560550.

The spelling of 386132838 in words is "three hundred eighty-six million, one hundred thirty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 403 434 546 637 651 806 1209 1274 1302 1519 1911 2418 2821 3038 3259 3822 4557 5642 6518 8463 9114 9777 16926 19554 19747 22813 39494 42367 45626 59241 68439 84734 101029 118482 127101 136878 159691 202058 254202 296569 303087 319382 479073 593138 606174 707203 889707 958146 1313377 1414406 1779414 2075983 2121609 2626754 3940131 4151966 4243218 4950421 6227949 7880262 9193639 9900842 12455898 14851263 18387278 27580917 29702526 55161834 64355473 128710946 193066419 386132838