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385279272 = 233273792017
BaseRepresentation
bin10110111101101…
…110010100101000
3222211222012210200
4112331232110220
51242112414042
6102121512200
712355551120
oct2675562450
9884865720
10385279272
11188531024
12a9042660
1361a89101
1439251c80
1523c56c4c
hex16f6e528

385279272 has 96 divisors (see below), whose sum is σ = 1196270400. Its totient is φ = 109734912.

The previous prime is 385279259. The next prime is 385279291. The reversal of 385279272 is 272972583.

385279272 is a `hidden beast` number, since 38 + 527 + 92 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190008 + ... + 192024.

It is an arithmetic number, because the mean of its divisors is an integer number (12461150).

Almost surely, 2385279272 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 385279272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598135200).

385279272 is an abundant number, since it is smaller than the sum of its proper divisors (810991128).

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

385279272 is a wasteful number, since it uses less digits than its factorization.

385279272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2408 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 385279272 is about 19628.5320897921. The cubic root of 385279272 is about 727.6544922897.

The spelling of 385279272 in words is "three hundred eighty-five million, two hundred seventy-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 379 504 758 1137 1516 2017 2274 2653 3032 3411 4034 4548 5306 6051 6822 7959 8068 9096 10612 12102 13644 14119 15918 16136 18153 21224 23877 24204 27288 28238 31836 36306 42357 47754 48408 56476 63672 72612 84714 95508 112952 127071 145224 169428 191016 254142 338856 508284 764443 1016568 1528886 2293329 3057772 4586658 5351101 6115544 6879987 9173316 10702202 13759974 16053303 18346632 21404404 27519948 32106606 42808808 48159909 55039896 64213212 96319818 128426424 192639636 385279272