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395413812 = 22341771789
BaseRepresentation
bin10111100100011…
…000100100110100
31000120001002210000
4113210120210310
51302211220222
6103123031300
712540650643
oct2744304464
91016032700
10395413812
11193223282
12b050b530
1363bc6c91
143a72d35a
1524aa99ac
hex17918934

395413812 has 60 divisors (see below), whose sum is σ = 1094510340. Its totient is φ = 124049664.

The previous prime is 395413757. The next prime is 395413813. The reversal of 395413812 is 218314593.

395413812 is a `hidden beast` number, since 39 + 541 + 3 + 81 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 235745316 + 159668496 = 15354^2 + 12636^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395413813) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 30387 + ... + 41402.

It is an arithmetic number, because the mean of its divisors is an integer number (18241839).

Almost surely, 2395413812 is an apocalyptic number.

It is an amenable number.

395413812 is an abundant number, since it is smaller than the sum of its proper divisors (699096528).

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

395413812 is a wasteful number, since it uses less digits than its factorization.

395413812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71822 (or 71811 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 395413812 is about 19885.0147598638. The cubic root of 395413812 is about 733.9795251016.

It can be divided in two parts, 3954 and 13812, that added together give a triangular number (17766 = T188).

The spelling of 395413812 in words is "three hundred ninety-five million, four hundred thirteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 71789 143578 215367 287156 430734 646101 861468 1220413 1292202 1938303 2440826 2584404 3661239 3876606 4881652 5814909 7322478 7753212 10983717 11629818 14644956 21967434 23259636 32951151 43934868 65902302 98853453 131804604 197706906 395413812