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38987568 = 243467449
BaseRepresentation
bin1001010010111…
…0011100110000
32201100202220000
42110232130300
534440100233
63511350000
7652250244
oct224563460
981322800
1038987568
1120009a34
1211082300
138100a89
14526c424
153651d13
hex252e730

38987568 has 100 divisors (see below), whose sum is σ = 114780600. Its totient is φ = 12773376.

The previous prime is 38987551. The next prime is 38987569. The reversal of 38987568 is 86578983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38987569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86608 + ... + 87056.

It is an arithmetic number, because the mean of its divisors is an integer number (1147806).

Almost surely, 238987568 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 38987568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57390300).

38987568 is an abundant number, since it is smaller than the sum of its proper divisors (75793032).

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

38987568 is a wasteful number, since it uses less digits than its factorization.

38987568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 38987568 is about 6244.0025624594. The cubic root of 38987568 is about 339.0851066765.

The spelling of 38987568 in words is "thirty-eight million, nine hundred eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 449 536 603 648 804 898 1072 1206 1296 1347 1608 1796 1809 2412 2694 3216 3592 3618 4041 4824 5388 5427 7184 7236 8082 9648 10776 10854 12123 14472 16164 21552 21708 24246 28944 30083 32328 36369 43416 48492 60166 64656 72738 86832 90249 96984 120332 145476 180498 193968 240664 270747 290952 360996 481328 541494 581904 721992 812241 1082988 1443984 1624482 2165976 2436723 3248964 4331952 4873446 6497928 9746892 12995856 19493784 38987568