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387853272 = 23351311523
BaseRepresentation
bin10111000111100…
…010101111011000
31000000210222200000
4113013202233120
51243242301042
6102253013000
712416461362
oct2707425730
91000728600
10387853272
11189a299a4
12a9a84160
136247a8a1
1439721d32
15240b474c
hex171e2bd8

387853272 has 96 divisors (see below), whose sum is σ = 1098377280. Its totient is φ = 128213280.

The previous prime is 387853267. The next prime is 387853309. The reversal of 387853272 is 272358783.

It is a super-2 number, since 2×3878532722 = 300860321202211968, which contains 22 as substring.

It is a congruent number.

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, 253903 + ... + 255425.

It is an arithmetic number, because the mean of its divisors is an integer number (11441430).

Almost surely, 2387853272 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 387853272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549188640).

387853272 is an abundant number, since it is smaller than the sum of its proper divisors (710524008).

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

387853272 is a wasteful number, since it uses less digits than its factorization.

387853272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1659 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 387853272 is about 19693.9907586045. The cubic root of 387853272 is about 729.2713515063.

The spelling of 387853272 in words is "three hundred eighty-seven million, eight hundred fifty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 243 262 324 393 486 524 648 786 972 1048 1179 1523 1572 1944 2358 3046 3144 3537 4569 4716 6092 7074 9138 9432 10611 12184 13707 14148 18276 21222 27414 28296 31833 36552 41121 42444 54828 63666 82242 84888 109656 123363 127332 164484 199513 246726 254664 328968 370089 399026 493452 598539 740178 798052 986904 1197078 1480356 1596104 1795617 2394156 2960712 3591234 4788312 5386851 7182468 10773702 14364936 16160553 21547404 32321106 43094808 48481659 64642212 96963318 129284424 193926636 387853272