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387141568 = 261119103281
BaseRepresentation
bin10111000100110…
…100111111000000
3222222110211101121
4113010310333000
51243102012233
6102225442024
712410435422
oct2704647700
9888424347
10387141568
11189593210
12a97a0314
136228b968
14395b8812
1523ec392d
hex17134fc0

387141568 has 112 divisors (see below), whose sum is σ = 893917440. Its totient is φ = 164505600.

The previous prime is 387141551. The next prime is 387141569. The reversal of 387141568 is 865141783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387141569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377588 + ... + 1377868.

Almost surely, 2387141568 is an apocalyptic number.

387141568 is a gapful number since it is divisible by the number (38) 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 387141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446958720).

387141568 is an abundant number, since it is smaller than the sum of its proper divisors (506775872).

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

387141568 is a wasteful number, since it uses less digits than its factorization.

387141568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 387141568 is about 19675.9133968413. The cubic root of 387141568 is about 728.8250116428.

The spelling of 387141568 in words is "three hundred eighty-seven million, one hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 103 152 176 206 209 281 304 352 412 418 562 608 704 824 836 1124 1133 1216 1648 1672 1957 2248 2266 3091 3296 3344 3914 4496 4532 5339 6182 6592 6688 7828 8992 9064 10678 12364 13376 15656 17984 18128 21356 21527 24728 28943 31312 36256 42712 43054 49456 57886 58729 62624 72512 85424 86108 98912 115772 117458 125248 170848 172216 197824 231544 234916 318373 341696 344432 463088 469832 549917 636746 688864 926176 939664 1099834 1273492 1377728 1852352 1879328 2199668 2546984 3758656 4399336 5093968 6049087 8798672 10187936 12098174 17597344 20375872 24196348 35194688 48392696 96785392 193570784 387141568